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Finding the Fourth Proportional to 38,358, 57,537.72 and 10,656.72

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Solution

The fourth proportional to 38,358, 57,537.72 and 10,656.72 is: 15,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,358 : 57,537.72 = 10,656.72 : x
  2. Step 2: Convert to fraction form
    38,358/57,537.72 = 10,656.72/x
  3. Step 3: Cross multiply
    38,358x = 57,537.72 × 10,656.72
  4. Step 4: Simplify right side
    38,358x = 613,163,371.48
  5. Step 5: Solve for x
    x = 613,163,371.48/38,358
  6. Step 6: Final answer
    x = 15,985.28

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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.