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Finding the Fourth Proportional to 9,152.64, 13,721.76 and 4,219.20

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Solution

The fourth proportional to 9,152.64, 13,721.76 and 4,219.20 is: 6,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.64 : 13,721.76 = 4,219.20 : x
  2. Step 2: Convert to fraction form
    9,152.64/13,721.76 = 4,219.20/x
  3. Step 3: Cross multiply
    9,152.64x = 13,721.76 × 4,219.20
  4. Step 4: Simplify right side
    9,152.64x = 57,894,849.79
  5. Step 5: Solve for x
    x = 57,894,849.79/9,152.64
  6. Step 6: Final answer
    x = 6,325.48

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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.