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Finding the Fourth Proportional to 12,398.54, 18,598.82 and 5,821.13

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Solution

The fourth proportional to 12,398.54, 18,598.82 and 5,821.13 is: 8,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.54 : 18,598.82 = 5,821.13 : x
  2. Step 2: Convert to fraction form
    12,398.54/18,598.82 = 5,821.13/x
  3. Step 3: Cross multiply
    12,398.54x = 18,598.82 × 5,821.13
  4. Step 4: Simplify right side
    12,398.54x = 108,266,166.46
  5. Step 5: Solve for x
    x = 108,266,166.46/12,398.54
  6. Step 6: Final answer
    x = 8,732.17

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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.