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Finding the Fourth Proportional to 38,599, 57,898.50 and 9,415

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Solution

The fourth proportional to 38,599, 57,898.50 and 9,415 is: 14,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,599 : 57,898.50 = 9,415 : x
  2. Step 2: Convert to fraction form
    38,599/57,898.50 = 9,415/x
  3. Step 3: Cross multiply
    38,599x = 57,898.50 × 9,415
  4. Step 4: Simplify right side
    38,599x = 545,114,377.50
  5. Step 5: Solve for x
    x = 545,114,377.50/38,599
  6. Step 6: Final answer
    x = 14,122.50

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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.