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Finding the Fourth Proportional to 8,823.12, 13,235.24 and 2,900.40

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Solution

The fourth proportional to 8,823.12, 13,235.24 and 2,900.40 is: 4,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.12 : 13,235.24 = 2,900.40 : x
  2. Step 2: Convert to fraction form
    8,823.12/13,235.24 = 2,900.40/x
  3. Step 3: Cross multiply
    8,823.12x = 13,235.24 × 2,900.40
  4. Step 4: Simplify right side
    8,823.12x = 38,387,490.10
  5. Step 5: Solve for x
    x = 38,387,490.10/8,823.12
  6. Step 6: Final answer
    x = 4,350.78

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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.