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Finding the Fourth Proportional to 37,705.71, 52,034 and 20,478.14

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Solution

The fourth proportional to 37,705.71, 52,034 and 20,478.14 is: 28,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,705.71 : 52,034 = 20,478.14 : x
  2. Step 2: Convert to fraction form
    37,705.71/52,034 = 20,478.14/x
  3. Step 3: Cross multiply
    37,705.71x = 52,034 × 20,478.14
  4. Step 4: Simplify right side
    37,705.71x = 1,065,559,536.76
  5. Step 5: Solve for x
    x = 1,065,559,536.76/37,705.71
  6. Step 6: Final answer
    x = 28,259.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.