Home / 10,981.44-16,470-3,586.16

Finding the Fourth Proportional to 10,981.44, 16,470 and 3,586.16

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Solution

The fourth proportional to 10,981.44, 16,470 and 3,586.16 is: 5,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.44 : 16,470 = 3,586.16 : x
  2. Step 2: Convert to fraction form
    10,981.44/16,470 = 3,586.16/x
  3. Step 3: Cross multiply
    10,981.44x = 16,470 × 3,586.16
  4. Step 4: Simplify right side
    10,981.44x = 59,064,055.20
  5. Step 5: Solve for x
    x = 59,064,055.20/10,981.44
  6. Step 6: Final answer
    x = 5,378.53

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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.