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Finding the Fourth Proportional to 10,155.20, 14,014.08 and 5,678.90

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Solution

The fourth proportional to 10,155.20, 14,014.08 and 5,678.90 is: 7,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.20 : 14,014.08 = 5,678.90 : x
  2. Step 2: Convert to fraction form
    10,155.20/14,014.08 = 5,678.90/x
  3. Step 3: Cross multiply
    10,155.20x = 14,014.08 × 5,678.90
  4. Step 4: Simplify right side
    10,155.20x = 79,584,558.91
  5. Step 5: Solve for x
    x = 79,584,558.91/10,155.20
  6. Step 6: Final answer
    x = 7,836.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.