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Finding the Fourth Proportional to 12,264.60, 16,930.35 and 8,291.10

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Solution

The fourth proportional to 12,264.60, 16,930.35 and 8,291.10 is: 11,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.60 : 16,930.35 = 8,291.10 : x
  2. Step 2: Convert to fraction form
    12,264.60/16,930.35 = 8,291.10/x
  3. Step 3: Cross multiply
    12,264.60x = 16,930.35 × 8,291.10
  4. Step 4: Simplify right side
    12,264.60x = 140,371,224.89
  5. Step 5: Solve for x
    x = 140,371,224.89/12,264.60
  6. Step 6: Final answer
    x = 11,445.23

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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.