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Finding the Fourth Proportional to 11,710.40, 17,562 and 4,315.52

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Solution

The fourth proportional to 11,710.40, 17,562 and 4,315.52 is: 6,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.40 : 17,562 = 4,315.52 : x
  2. Step 2: Convert to fraction form
    11,710.40/17,562 = 4,315.52/x
  3. Step 3: Cross multiply
    11,710.40x = 17,562 × 4,315.52
  4. Step 4: Simplify right side
    11,710.40x = 75,789,162.24
  5. Step 5: Solve for x
    x = 75,789,162.24/11,710.40
  6. Step 6: Final answer
    x = 6,471.95

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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.