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Finding the Fourth Proportional to 10,642.80, 14,686.20 and 6,661.20

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Solution

The fourth proportional to 10,642.80, 14,686.20 and 6,661.20 is: 9,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.80 : 14,686.20 = 6,661.20 : x
  2. Step 2: Convert to fraction form
    10,642.80/14,686.20 = 6,661.20/x
  3. Step 3: Cross multiply
    10,642.80x = 14,686.20 × 6,661.20
  4. Step 4: Simplify right side
    10,642.80x = 97,827,715.44
  5. Step 5: Solve for x
    x = 97,827,715.44/10,642.80
  6. Step 6: Final answer
    x = 9,191.92

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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.