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Finding the Fourth Proportional to 37,131, 55,705.26 and 12,507

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Solution

The fourth proportional to 37,131, 55,705.26 and 12,507 is: 18,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,131 : 55,705.26 = 12,507 : x
  2. Step 2: Convert to fraction form
    37,131/55,705.26 = 12,507/x
  3. Step 3: Cross multiply
    37,131x = 55,705.26 × 12,507
  4. Step 4: Simplify right side
    37,131x = 696,705,686.82
  5. Step 5: Solve for x
    x = 696,705,686.82/37,131
  6. Step 6: Final answer
    x = 18,763.45

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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.