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Finding the Fourth Proportional to 38,071, 57,106.50 and 10,369

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Solution

The fourth proportional to 38,071, 57,106.50 and 10,369 is: 15,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,071 : 57,106.50 = 10,369 : x
  2. Step 2: Convert to fraction form
    38,071/57,106.50 = 10,369/x
  3. Step 3: Cross multiply
    38,071x = 57,106.50 × 10,369
  4. Step 4: Simplify right side
    38,071x = 592,137,298.50
  5. Step 5: Solve for x
    x = 592,137,298.50/38,071
  6. Step 6: Final answer
    x = 15,553.50

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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.