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Finding the Fourth Proportional to 7,148.96, 10,702.16 and 6,398.08

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Solution

The fourth proportional to 7,148.96, 10,702.16 and 6,398.08 is: 9,578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.96 : 10,702.16 = 6,398.08 : x
  2. Step 2: Convert to fraction form
    7,148.96/10,702.16 = 6,398.08/x
  3. Step 3: Cross multiply
    7,148.96x = 10,702.16 × 6,398.08
  4. Step 4: Simplify right side
    7,148.96x = 68,473,275.85
  5. Step 5: Solve for x
    x = 68,473,275.85/7,148.96
  6. Step 6: Final answer
    x = 9,578.08

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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.