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Finding the Fourth Proportional to 11,344.80, 15,655.68 and 6,309

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Solution

The fourth proportional to 11,344.80, 15,655.68 and 6,309 is: 8,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.80 : 15,655.68 = 6,309 : x
  2. Step 2: Convert to fraction form
    11,344.80/15,655.68 = 6,309/x
  3. Step 3: Cross multiply
    11,344.80x = 15,655.68 × 6,309
  4. Step 4: Simplify right side
    11,344.80x = 98,771,685.12
  5. Step 5: Solve for x
    x = 98,771,685.12/11,344.80
  6. Step 6: Final answer
    x = 8,706.34

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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.