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Finding the Fourth Proportional to 28,572.16, 42,849.96 and 8,580.84

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Solution

The fourth proportional to 28,572.16, 42,849.96 and 8,580.84 is: 12,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,572.16 : 42,849.96 = 8,580.84 : x
  2. Step 2: Convert to fraction form
    28,572.16/42,849.96 = 8,580.84/x
  3. Step 3: Cross multiply
    28,572.16x = 42,849.96 × 8,580.84
  4. Step 4: Simplify right side
    28,572.16x = 367,688,650.77
  5. Step 5: Solve for x
    x = 367,688,650.77/28,572.16
  6. Step 6: Final answer
    x = 12,868.77

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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.