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Finding the Fourth Proportional to 9,775.36, 14,641.14 and 9,447.28

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Solution

The fourth proportional to 9,775.36, 14,641.14 and 9,447.28 is: 14,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.36 : 14,641.14 = 9,447.28 : x
  2. Step 2: Convert to fraction form
    9,775.36/14,641.14 = 9,447.28/x
  3. Step 3: Cross multiply
    9,775.36x = 14,641.14 × 9,447.28
  4. Step 4: Simplify right side
    9,775.36x = 138,318,949.10
  5. Step 5: Solve for x
    x = 138,318,949.10/9,775.36
  6. Step 6: Final answer
    x = 14,149.76

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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.