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Finding the Fourth Proportional to 6,842.13, 10,263.19 and 1,648

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Solution

The fourth proportional to 6,842.13, 10,263.19 and 1,648 is: 2,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.13 : 10,263.19 = 1,648 : x
  2. Step 2: Convert to fraction form
    6,842.13/10,263.19 = 1,648/x
  3. Step 3: Cross multiply
    6,842.13x = 10,263.19 × 1,648
  4. Step 4: Simplify right side
    6,842.13x = 16,913,737.12
  5. Step 5: Solve for x
    x = 16,913,737.12/6,842.13
  6. Step 6: Final answer
    x = 2,472.00

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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.