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Finding the Fourth Proportional to 12,762.98, 17,613.16 and 7,098.20

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Solution

The fourth proportional to 12,762.98, 17,613.16 and 7,098.20 is: 9,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.98 : 17,613.16 = 7,098.20 : x
  2. Step 2: Convert to fraction form
    12,762.98/17,613.16 = 7,098.20/x
  3. Step 3: Cross multiply
    12,762.98x = 17,613.16 × 7,098.20
  4. Step 4: Simplify right side
    12,762.98x = 125,021,732.31
  5. Step 5: Solve for x
    x = 125,021,732.31/12,762.98
  6. Step 6: Final answer
    x = 9,795.65

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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.