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Finding the Fourth Proportional to 9,140.04, 13,634.98 and 8,443.04

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Solution

The fourth proportional to 9,140.04, 13,634.98 and 8,443.04 is: 12,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.04 : 13,634.98 = 8,443.04 : x
  2. Step 2: Convert to fraction form
    9,140.04/13,634.98 = 8,443.04/x
  3. Step 3: Cross multiply
    9,140.04x = 13,634.98 × 8,443.04
  4. Step 4: Simplify right side
    9,140.04x = 115,120,639.75
  5. Step 5: Solve for x
    x = 115,120,639.75/9,140.04
  6. Step 6: Final answer
    x = 12,595.20

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.