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Finding the Fourth Proportional to 6,663.80, 9,192.78 and 4,307.96

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Solution

The fourth proportional to 6,663.80, 9,192.78 and 4,307.96 is: 5,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.80 : 9,192.78 = 4,307.96 : x
  2. Step 2: Convert to fraction form
    6,663.80/9,192.78 = 4,307.96/x
  3. Step 3: Cross multiply
    6,663.80x = 9,192.78 × 4,307.96
  4. Step 4: Simplify right side
    6,663.80x = 39,602,128.53
  5. Step 5: Solve for x
    x = 39,602,128.53/6,663.80
  6. Step 6: Final answer
    x = 5,942.87

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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.