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Finding the Fourth Proportional to 9,200.40, 13,798.08 and 4,005.12

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Solution

The fourth proportional to 9,200.40, 13,798.08 and 4,005.12 is: 6,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.40 : 13,798.08 = 4,005.12 : x
  2. Step 2: Convert to fraction form
    9,200.40/13,798.08 = 4,005.12/x
  3. Step 3: Cross multiply
    9,200.40x = 13,798.08 × 4,005.12
  4. Step 4: Simplify right side
    9,200.40x = 55,262,966.17
  5. Step 5: Solve for x
    x = 55,262,966.17/9,200.40
  6. Step 6: Final answer
    x = 6,006.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.