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Finding the Fourth Proportional to 9,605.64, 13,263.66 and 9,116.40

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Solution

The fourth proportional to 9,605.64, 13,263.66 and 9,116.40 is: 12,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.64 : 13,263.66 = 9,116.40 : x
  2. Step 2: Convert to fraction form
    9,605.64/13,263.66 = 9,116.40/x
  3. Step 3: Cross multiply
    9,605.64x = 13,263.66 × 9,116.40
  4. Step 4: Simplify right side
    9,605.64x = 120,916,830.02
  5. Step 5: Solve for x
    x = 120,916,830.02/9,605.64
  6. Step 6: Final answer
    x = 12,588.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.