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Finding the Fourth Proportional to 28,501.20, 42,751.80 and 7,724.70

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Solution

The fourth proportional to 28,501.20, 42,751.80 and 7,724.70 is: 11,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,501.20 : 42,751.80 = 7,724.70 : x
  2. Step 2: Convert to fraction form
    28,501.20/42,751.80 = 7,724.70/x
  3. Step 3: Cross multiply
    28,501.20x = 42,751.80 × 7,724.70
  4. Step 4: Simplify right side
    28,501.20x = 330,244,829.46
  5. Step 5: Solve for x
    x = 330,244,829.46/28,501.20
  6. Step 6: Final answer
    x = 11,587.05

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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.