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Finding the Fourth Proportional to 12,712, 19,073.76 and 6,136.96

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Solution

The fourth proportional to 12,712, 19,073.76 and 6,136.96 is: 9,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712 : 19,073.76 = 6,136.96 : x
  2. Step 2: Convert to fraction form
    12,712/19,073.76 = 6,136.96/x
  3. Step 3: Cross multiply
    12,712x = 19,073.76 × 6,136.96
  4. Step 4: Simplify right side
    12,712x = 117,054,902.17
  5. Step 5: Solve for x
    x = 117,054,902.17/12,712
  6. Step 6: Final answer
    x = 9,208.22

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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.