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Finding the Fourth Proportional to 15,896.68, 23,828.82 and 7,129.24

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Solution

The fourth proportional to 15,896.68, 23,828.82 and 7,129.24 is: 10,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.68 : 23,828.82 = 7,129.24 : x
  2. Step 2: Convert to fraction form
    15,896.68/23,828.82 = 7,129.24/x
  3. Step 3: Cross multiply
    15,896.68x = 23,828.82 × 7,129.24
  4. Step 4: Simplify right side
    15,896.68x = 169,881,376.70
  5. Step 5: Solve for x
    x = 169,881,376.70/15,896.68
  6. Step 6: Final answer
    x = 10,686.59

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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.