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Finding the Fourth Proportional to 12,715.47, 19,073.64 and 5,695.53

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Solution

The fourth proportional to 12,715.47, 19,073.64 and 5,695.53 is: 8,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.47 : 19,073.64 = 5,695.53 : x
  2. Step 2: Convert to fraction form
    12,715.47/19,073.64 = 5,695.53/x
  3. Step 3: Cross multiply
    12,715.47x = 19,073.64 × 5,695.53
  4. Step 4: Simplify right side
    12,715.47x = 108,634,488.83
  5. Step 5: Solve for x
    x = 108,634,488.83/12,715.47
  6. Step 6: Final answer
    x = 8,543.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.