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Finding the Fourth Proportional to 12,335.60, 17,022.12 and 7,029.20

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Solution

The fourth proportional to 12,335.60, 17,022.12 and 7,029.20 is: 9,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.60 : 17,022.12 = 7,029.20 : x
  2. Step 2: Convert to fraction form
    12,335.60/17,022.12 = 7,029.20/x
  3. Step 3: Cross multiply
    12,335.60x = 17,022.12 × 7,029.20
  4. Step 4: Simplify right side
    12,335.60x = 119,651,885.90
  5. Step 5: Solve for x
    x = 119,651,885.90/12,335.60
  6. Step 6: Final answer
    x = 9,699.72

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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.