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Finding the Fourth Proportional to 4,305.76, 6,460.12 and 1,384.16

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Solution

The fourth proportional to 4,305.76, 6,460.12 and 1,384.16 is: 2,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.76 : 6,460.12 = 1,384.16 : x
  2. Step 2: Convert to fraction form
    4,305.76/6,460.12 = 1,384.16/x
  3. Step 3: Cross multiply
    4,305.76x = 6,460.12 × 1,384.16
  4. Step 4: Simplify right side
    4,305.76x = 8,941,839.70
  5. Step 5: Solve for x
    x = 8,941,839.70/4,305.76
  6. Step 6: Final answer
    x = 2,076.72

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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.