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Finding the Fourth Proportional to 2,624.34, 3,937.65 and 980.69

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Solution

The fourth proportional to 2,624.34, 3,937.65 and 980.69 is: 1,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.34 : 3,937.65 = 980.69 : x
  2. Step 2: Convert to fraction form
    2,624.34/3,937.65 = 980.69/x
  3. Step 3: Cross multiply
    2,624.34x = 3,937.65 × 980.69
  4. Step 4: Simplify right side
    2,624.34x = 3,861,590.61
  5. Step 5: Solve for x
    x = 3,861,590.61/2,624.34
  6. Step 6: Final answer
    x = 1,471.45

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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.