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Finding the Fourth Proportional to 34,389, 51,585.93 and 13,612.50

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Solution

The fourth proportional to 34,389, 51,585.93 and 13,612.50 is: 20,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,389 : 51,585.93 = 13,612.50 : x
  2. Step 2: Convert to fraction form
    34,389/51,585.93 = 13,612.50/x
  3. Step 3: Cross multiply
    34,389x = 51,585.93 × 13,612.50
  4. Step 4: Simplify right side
    34,389x = 702,213,472.13
  5. Step 5: Solve for x
    x = 702,213,472.13/34,389
  6. Step 6: Final answer
    x = 20,419.71

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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.