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Finding the Fourth Proportional to 10,620.66, 14,655.42 and 6,642.21

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Solution

The fourth proportional to 10,620.66, 14,655.42 and 6,642.21 is: 9,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.66 : 14,655.42 = 6,642.21 : x
  2. Step 2: Convert to fraction form
    10,620.66/14,655.42 = 6,642.21/x
  3. Step 3: Cross multiply
    10,620.66x = 14,655.42 × 6,642.21
  4. Step 4: Simplify right side
    10,620.66x = 97,344,377.28
  5. Step 5: Solve for x
    x = 97,344,377.28/10,620.66
  6. Step 6: Final answer
    x = 9,165.57

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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.