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Finding the Fourth Proportional to 10,480, 15,720 and 4,324.16

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Solution

The fourth proportional to 10,480, 15,720 and 4,324.16 is: 6,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480 : 15,720 = 4,324.16 : x
  2. Step 2: Convert to fraction form
    10,480/15,720 = 4,324.16/x
  3. Step 3: Cross multiply
    10,480x = 15,720 × 4,324.16
  4. Step 4: Simplify right side
    10,480x = 67,975,795.20
  5. Step 5: Solve for x
    x = 67,975,795.20/10,480
  6. Step 6: Final answer
    x = 6,486.24

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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.