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Finding the Fourth Proportional to 10,615.16, 14,655.48 and 6,839.66

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Solution

The fourth proportional to 10,615.16, 14,655.48 and 6,839.66 is: 9,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.16 : 14,655.48 = 6,839.66 : x
  2. Step 2: Convert to fraction form
    10,615.16/14,655.48 = 6,839.66/x
  3. Step 3: Cross multiply
    10,615.16x = 14,655.48 × 6,839.66
  4. Step 4: Simplify right side
    10,615.16x = 100,238,500.34
  5. Step 5: Solve for x
    x = 100,238,500.34/10,615.16
  6. Step 6: Final answer
    x = 9,442.96

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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.