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Finding the Fourth Proportional to 13,397.67, 19,978.45 and 12,462.66

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Solution

The fourth proportional to 13,397.67, 19,978.45 and 12,462.66 is: 18,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397.67 : 19,978.45 = 12,462.66 : x
  2. Step 2: Convert to fraction form
    13,397.67/19,978.45 = 12,462.66/x
  3. Step 3: Cross multiply
    13,397.67x = 19,978.45 × 12,462.66
  4. Step 4: Simplify right side
    13,397.67x = 248,984,598.52
  5. Step 5: Solve for x
    x = 248,984,598.52/13,397.67
  6. Step 6: Final answer
    x = 18,584.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.