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Finding the Fourth Proportional to 12,931.54, 17,845.53 and 7,342.54

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Solution

The fourth proportional to 12,931.54, 17,845.53 and 7,342.54 is: 10,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.54 : 17,845.53 = 7,342.54 : x
  2. Step 2: Convert to fraction form
    12,931.54/17,845.53 = 7,342.54/x
  3. Step 3: Cross multiply
    12,931.54x = 17,845.53 × 7,342.54
  4. Step 4: Simplify right side
    12,931.54x = 131,031,428.62
  5. Step 5: Solve for x
    x = 131,031,428.62/12,931.54
  6. Step 6: Final answer
    x = 10,132.70

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1.5x scale

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.