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Finding the Fourth Proportional to 9,869.71, 14,807.32 and 5,490.24

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Solution

The fourth proportional to 9,869.71, 14,807.32 and 5,490.24 is: 8,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.71 : 14,807.32 = 5,490.24 : x
  2. Step 2: Convert to fraction form
    9,869.71/14,807.32 = 5,490.24/x
  3. Step 3: Cross multiply
    9,869.71x = 14,807.32 × 5,490.24
  4. Step 4: Simplify right side
    9,869.71x = 81,295,713.11
  5. Step 5: Solve for x
    x = 81,295,713.11/9,869.71
  6. Step 6: Final answer
    x = 8,236.89

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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.