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Finding the Fourth Proportional to 12,971, 19,459.74 and 3,737

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Solution

The fourth proportional to 12,971, 19,459.74 and 3,737 is: 5,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971 : 19,459.74 = 3,737 : x
  2. Step 2: Convert to fraction form
    12,971/19,459.74 = 3,737/x
  3. Step 3: Cross multiply
    12,971x = 19,459.74 × 3,737
  4. Step 4: Simplify right side
    12,971x = 72,721,048.38
  5. Step 5: Solve for x
    x = 72,721,048.38/12,971
  6. Step 6: Final answer
    x = 5,606.43

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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.