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Finding the Fourth Proportional to 19,909.65, 29,837.94 and 7,417.10

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Solution

The fourth proportional to 19,909.65, 29,837.94 and 7,417.10 is: 11,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.65 : 29,837.94 = 7,417.10 : x
  2. Step 2: Convert to fraction form
    19,909.65/29,837.94 = 7,417.10/x
  3. Step 3: Cross multiply
    19,909.65x = 29,837.94 × 7,417.10
  4. Step 4: Simplify right side
    19,909.65x = 221,311,073.28
  5. Step 5: Solve for x
    x = 221,311,073.28/19,909.65
  6. Step 6: Final answer
    x = 11,115.77

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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.