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Finding the Fourth Proportional to 15,078.60, 22,617.90 and 9,829.80

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Solution

The fourth proportional to 15,078.60, 22,617.90 and 9,829.80 is: 14,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.60 : 22,617.90 = 9,829.80 : x
  2. Step 2: Convert to fraction form
    15,078.60/22,617.90 = 9,829.80/x
  3. Step 3: Cross multiply
    15,078.60x = 22,617.90 × 9,829.80
  4. Step 4: Simplify right side
    15,078.60x = 222,329,433.42
  5. Step 5: Solve for x
    x = 222,329,433.42/15,078.60
  6. Step 6: Final answer
    x = 14,744.70

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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.