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Finding the Fourth Proportional to 37,421.76, 51,642.10 and 20,654.76

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Solution

The fourth proportional to 37,421.76, 51,642.10 and 20,654.76 is: 28,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,421.76 : 51,642.10 = 20,654.76 : x
  2. Step 2: Convert to fraction form
    37,421.76/51,642.10 = 20,654.76/x
  3. Step 3: Cross multiply
    37,421.76x = 51,642.10 × 20,654.76
  4. Step 4: Simplify right side
    37,421.76x = 1,066,655,181.40
  5. Step 5: Solve for x
    x = 1,066,655,181.40/37,421.76
  6. Step 6: Final answer
    x = 28,503.61

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1.5x scale

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.