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Finding the Fourth Proportional to 25,980.40, 38,974.70 and 8,446.13

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Solution

The fourth proportional to 25,980.40, 38,974.70 and 8,446.13 is: 12,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980.40 : 38,974.70 = 8,446.13 : x
  2. Step 2: Convert to fraction form
    25,980.40/38,974.70 = 8,446.13/x
  3. Step 3: Cross multiply
    25,980.40x = 38,974.70 × 8,446.13
  4. Step 4: Simplify right side
    25,980.40x = 329,185,209.15
  5. Step 5: Solve for x
    x = 329,185,209.15/25,980.40
  6. Step 6: Final answer
    x = 12,670.52

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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.