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Finding the Fourth Proportional to 37,120, 55,683.24 and 9,418

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Solution

The fourth proportional to 37,120, 55,683.24 and 9,418 is: 14,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,120 : 55,683.24 = 9,418 : x
  2. Step 2: Convert to fraction form
    37,120/55,683.24 = 9,418/x
  3. Step 3: Cross multiply
    37,120x = 55,683.24 × 9,418
  4. Step 4: Simplify right side
    37,120x = 524,424,754.32
  5. Step 5: Solve for x
    x = 524,424,754.32/37,120
  6. Step 6: Final answer
    x = 14,127.82

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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.