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Finding the Fourth Proportional to 12,597.71, 18,898.85 and 5,198.13

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Solution

The fourth proportional to 12,597.71, 18,898.85 and 5,198.13 is: 7,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.71 : 18,898.85 = 5,198.13 : x
  2. Step 2: Convert to fraction form
    12,597.71/18,898.85 = 5,198.13/x
  3. Step 3: Cross multiply
    12,597.71x = 18,898.85 × 5,198.13
  4. Step 4: Simplify right side
    12,597.71x = 98,238,653.16
  5. Step 5: Solve for x
    x = 98,238,653.16/12,597.71
  6. Step 6: Final answer
    x = 7,798.14

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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.