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Finding the Fourth Proportional to 25,778.66, 38,668.35 and 7,310.66

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Solution

The fourth proportional to 25,778.66, 38,668.35 and 7,310.66 is: 10,966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,778.66 : 38,668.35 = 7,310.66 : x
  2. Step 2: Convert to fraction form
    25,778.66/38,668.35 = 7,310.66/x
  3. Step 3: Cross multiply
    25,778.66x = 38,668.35 × 7,310.66
  4. Step 4: Simplify right side
    25,778.66x = 282,691,159.61
  5. Step 5: Solve for x
    x = 282,691,159.61/25,778.66
  6. Step 6: Final answer
    x = 10,966.09

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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.