Home / 10,257.67-15,381-5,315.05

Finding the Fourth Proportional to 10,257.67, 15,381 and 5,315.05

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Solution

The fourth proportional to 10,257.67, 15,381 and 5,315.05 is: 7,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.67 : 15,381 = 5,315.05 : x
  2. Step 2: Convert to fraction form
    10,257.67/15,381 = 5,315.05/x
  3. Step 3: Cross multiply
    10,257.67x = 15,381 × 5,315.05
  4. Step 4: Simplify right side
    10,257.67x = 81,750,784.05
  5. Step 5: Solve for x
    x = 81,750,784.05/10,257.67
  6. Step 6: Final answer
    x = 7,969.72

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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.