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Finding the Fourth Proportional to 12,821.60, 17,657.16 and 9,279.20

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Solution

The fourth proportional to 12,821.60, 17,657.16 and 9,279.20 is: 12,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.60 : 17,657.16 = 9,279.20 : x
  2. Step 2: Convert to fraction form
    12,821.60/17,657.16 = 9,279.20/x
  3. Step 3: Cross multiply
    12,821.60x = 17,657.16 × 9,279.20
  4. Step 4: Simplify right side
    12,821.60x = 163,844,319.07
  5. Step 5: Solve for x
    x = 163,844,319.07/12,821.60
  6. Step 6: Final answer
    x = 12,778.77

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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.