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Finding the Fourth Proportional to 12,612.74, 17,406.16 and 7,310.48

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Solution

The fourth proportional to 12,612.74, 17,406.16 and 7,310.48 is: 10,088.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612.74 : 17,406.16 = 7,310.48 : x
  2. Step 2: Convert to fraction form
    12,612.74/17,406.16 = 7,310.48/x
  3. Step 3: Cross multiply
    12,612.74x = 17,406.16 × 7,310.48
  4. Step 4: Simplify right side
    12,612.74x = 127,247,279.25
  5. Step 5: Solve for x
    x = 127,247,279.25/12,612.74
  6. Step 6: Final answer
    x = 10,088.79

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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.