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Finding the Fourth Proportional to 15,065.60, 22,612.80 and 7,678.40

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Solution

The fourth proportional to 15,065.60, 22,612.80 and 7,678.40 is: 11,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,065.60 : 22,612.80 = 7,678.40 : x
  2. Step 2: Convert to fraction form
    15,065.60/22,612.80 = 7,678.40/x
  3. Step 3: Cross multiply
    15,065.60x = 22,612.80 × 7,678.40
  4. Step 4: Simplify right side
    15,065.60x = 173,630,123.52
  5. Step 5: Solve for x
    x = 173,630,123.52/15,065.60
  6. Step 6: Final answer
    x = 11,524.94

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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.