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Finding the Fourth Proportional to 12,762.87, 17,613.74 and 7,098.07

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Solution

The fourth proportional to 12,762.87, 17,613.74 and 7,098.07 is: 9,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.87 : 17,613.74 = 7,098.07 : x
  2. Step 2: Convert to fraction form
    12,762.87/17,613.74 = 7,098.07/x
  3. Step 3: Cross multiply
    12,762.87x = 17,613.74 × 7,098.07
  4. Step 4: Simplify right side
    12,762.87x = 125,023,559.48
  5. Step 5: Solve for x
    x = 125,023,559.48/12,762.87
  6. Step 6: Final answer
    x = 9,795.88

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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.