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Finding the Fourth Proportional to 28,188.54, 42,291.11 and 8,470.10

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Solution

The fourth proportional to 28,188.54, 42,291.11 and 8,470.10 is: 12,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,188.54 : 42,291.11 = 8,470.10 : x
  2. Step 2: Convert to fraction form
    28,188.54/42,291.11 = 8,470.10/x
  3. Step 3: Cross multiply
    28,188.54x = 42,291.11 × 8,470.10
  4. Step 4: Simplify right side
    28,188.54x = 358,210,057.71
  5. Step 5: Solve for x
    x = 358,210,057.71/28,188.54
  6. Step 6: Final answer
    x = 12,707.65

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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.