Home / 10,494-15,742.80-4,570.56

Finding the Fourth Proportional to 10,494, 15,742.80 and 4,570.56

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Solution

The fourth proportional to 10,494, 15,742.80 and 4,570.56 is: 6,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494 : 15,742.80 = 4,570.56 : x
  2. Step 2: Convert to fraction form
    10,494/15,742.80 = 4,570.56/x
  3. Step 3: Cross multiply
    10,494x = 15,742.80 × 4,570.56
  4. Step 4: Simplify right side
    10,494x = 71,953,411.97
  5. Step 5: Solve for x
    x = 71,953,411.97/10,494
  6. Step 6: Final answer
    x = 6,856.62

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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.