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Finding the Fourth Proportional to 19,061.10, 26,304 and 10,447.20

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Solution

The fourth proportional to 19,061.10, 26,304 and 10,447.20 is: 14,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,061.10 : 26,304 = 10,447.20 : x
  2. Step 2: Convert to fraction form
    19,061.10/26,304 = 10,447.20/x
  3. Step 3: Cross multiply
    19,061.10x = 26,304 × 10,447.20
  4. Step 4: Simplify right side
    19,061.10x = 274,803,148.80
  5. Step 5: Solve for x
    x = 274,803,148.80/19,061.10
  6. Step 6: Final answer
    x = 14,416.96

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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.