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Finding the Fourth Proportional to 12,651.15, 17,458.14 and 6,985.80

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Solution

The fourth proportional to 12,651.15, 17,458.14 and 6,985.80 is: 9,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.15 : 17,458.14 = 6,985.80 : x
  2. Step 2: Convert to fraction form
    12,651.15/17,458.14 = 6,985.80/x
  3. Step 3: Cross multiply
    12,651.15x = 17,458.14 × 6,985.80
  4. Step 4: Simplify right side
    12,651.15x = 121,959,074.41
  5. Step 5: Solve for x
    x = 121,959,074.41/12,651.15
  6. Step 6: Final answer
    x = 9,640.16

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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.