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Finding the Fourth Proportional to 7,150.38, 10,702.28 and 6,468.36

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Solution

The fourth proportional to 7,150.38, 10,702.28 and 6,468.36 is: 9,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.38 : 10,702.28 = 6,468.36 : x
  2. Step 2: Convert to fraction form
    7,150.38/10,702.28 = 6,468.36/x
  3. Step 3: Cross multiply
    7,150.38x = 10,702.28 × 6,468.36
  4. Step 4: Simplify right side
    7,150.38x = 69,226,139.51
  5. Step 5: Solve for x
    x = 69,226,139.51/7,150.38
  6. Step 6: Final answer
    x = 9,681.47

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