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Finding the Fourth Proportional to 7,754, 10,702.08 and 4,442

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Solution

The fourth proportional to 7,754, 10,702.08 and 4,442 is: 6,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754 : 10,702.08 = 4,442 : x
  2. Step 2: Convert to fraction form
    7,754/10,702.08 = 4,442/x
  3. Step 3: Cross multiply
    7,754x = 10,702.08 × 4,442
  4. Step 4: Simplify right side
    7,754x = 47,538,639.36
  5. Step 5: Solve for x
    x = 47,538,639.36/7,754
  6. Step 6: Final answer
    x = 6,130.85

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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.