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Finding the Fourth Proportional to 28,602.10, 42,898.56 and 7,820.74

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Solution

The fourth proportional to 28,602.10, 42,898.56 and 7,820.74 is: 11,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,602.10 : 42,898.56 = 7,820.74 : x
  2. Step 2: Convert to fraction form
    28,602.10/42,898.56 = 7,820.74/x
  3. Step 3: Cross multiply
    28,602.10x = 42,898.56 × 7,820.74
  4. Step 4: Simplify right side
    28,602.10x = 335,498,484.13
  5. Step 5: Solve for x
    x = 335,498,484.13/28,602.10
  6. Step 6: Final answer
    x = 11,729.85

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1.5x scale

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.