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Finding the Fourth Proportional to 1,562, 2,343.98 and 832.06

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Solution

The fourth proportional to 1,562, 2,343.98 and 832.06 is: 1,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562 : 2,343.98 = 832.06 : x
  2. Step 2: Convert to fraction form
    1,562/2,343.98 = 832.06/x
  3. Step 3: Cross multiply
    1,562x = 2,343.98 × 832.06
  4. Step 4: Simplify right side
    1,562x = 1,950,316.12
  5. Step 5: Solve for x
    x = 1,950,316.12/1,562
  6. Step 6: Final answer
    x = 1,248.60

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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.