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Finding the Fourth Proportional to 7,175.16, 9,898.95 and 5,291.19

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Solution

The fourth proportional to 7,175.16, 9,898.95 and 5,291.19 is: 7,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.16 : 9,898.95 = 5,291.19 : x
  2. Step 2: Convert to fraction form
    7,175.16/9,898.95 = 5,291.19/x
  3. Step 3: Cross multiply
    7,175.16x = 9,898.95 × 5,291.19
  4. Step 4: Simplify right side
    7,175.16x = 52,377,225.25
  5. Step 5: Solve for x
    x = 52,377,225.25/7,175.16
  6. Step 6: Final answer
    x = 7,299.80

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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.