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Finding the Fourth Proportional to 12,657.64, 17,475 and 8,684.59

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Solution

The fourth proportional to 12,657.64, 17,475 and 8,684.59 is: 11,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.64 : 17,475 = 8,684.59 : x
  2. Step 2: Convert to fraction form
    12,657.64/17,475 = 8,684.59/x
  3. Step 3: Cross multiply
    12,657.64x = 17,475 × 8,684.59
  4. Step 4: Simplify right side
    12,657.64x = 151,763,210.25
  5. Step 5: Solve for x
    x = 151,763,210.25/12,657.64
  6. Step 6: Final answer
    x = 11,989.85

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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.