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Finding the Fourth Proportional to 7,490, 10,340.96 and 6,702.64

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Solution

The fourth proportional to 7,490, 10,340.96 and 6,702.64 is: 9,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490 : 10,340.96 = 6,702.64 : x
  2. Step 2: Convert to fraction form
    7,490/10,340.96 = 6,702.64/x
  3. Step 3: Cross multiply
    7,490x = 10,340.96 × 6,702.64
  4. Step 4: Simplify right side
    7,490x = 69,311,732.13
  5. Step 5: Solve for x
    x = 69,311,732.13/7,490
  6. Step 6: Final answer
    x = 9,253.90

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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.