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Finding the Fourth Proportional to 10,259.68, 15,384 and 5,317.06

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Solution

The fourth proportional to 10,259.68, 15,384 and 5,317.06 is: 7,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.68 : 15,384 = 5,317.06 : x
  2. Step 2: Convert to fraction form
    10,259.68/15,384 = 5,317.06/x
  3. Step 3: Cross multiply
    10,259.68x = 15,384 × 5,317.06
  4. Step 4: Simplify right side
    10,259.68x = 81,797,651.04
  5. Step 5: Solve for x
    x = 81,797,651.04/10,259.68
  6. Step 6: Final answer
    x = 7,972.73

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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.