Home / 10,499-15,738.72-4,652.36

Finding the Fourth Proportional to 10,499, 15,738.72 and 4,652.36

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Solution

The fourth proportional to 10,499, 15,738.72 and 4,652.36 is: 6,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499 : 15,738.72 = 4,652.36 : x
  2. Step 2: Convert to fraction form
    10,499/15,738.72 = 4,652.36/x
  3. Step 3: Cross multiply
    10,499x = 15,738.72 × 4,652.36
  4. Step 4: Simplify right side
    10,499x = 73,222,191.38
  5. Step 5: Solve for x
    x = 73,222,191.38/10,499
  6. Step 6: Final answer
    x = 6,974.21

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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.