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Finding the Fourth Proportional to 8,461.22, 11,646.16 and 7,029.14

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Solution

The fourth proportional to 8,461.22, 11,646.16 and 7,029.14 is: 9,675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.22 : 11,646.16 = 7,029.14 : x
  2. Step 2: Convert to fraction form
    8,461.22/11,646.16 = 7,029.14/x
  3. Step 3: Cross multiply
    8,461.22x = 11,646.16 × 7,029.14
  4. Step 4: Simplify right side
    8,461.22x = 81,862,489.10
  5. Step 5: Solve for x
    x = 81,862,489.10/8,461.22
  6. Step 6: Final answer
    x = 9,675.02

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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.