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Finding the Fourth Proportional to 6,909.67, 10,368.95 and 6,884.16

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Solution

The fourth proportional to 6,909.67, 10,368.95 and 6,884.16 is: 10,330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.67 : 10,368.95 = 6,884.16 : x
  2. Step 2: Convert to fraction form
    6,909.67/10,368.95 = 6,884.16/x
  3. Step 3: Cross multiply
    6,909.67x = 10,368.95 × 6,884.16
  4. Step 4: Simplify right side
    6,909.67x = 71,381,437.53
  5. Step 5: Solve for x
    x = 71,381,437.53/6,909.67
  6. Step 6: Final answer
    x = 10,330.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.