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Finding the Fourth Proportional to 3,247.64, 4,871 and 1,056.40

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Solution

The fourth proportional to 3,247.64, 4,871 and 1,056.40 is: 1,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.64 : 4,871 = 1,056.40 : x
  2. Step 2: Convert to fraction form
    3,247.64/4,871 = 1,056.40/x
  3. Step 3: Cross multiply
    3,247.64x = 4,871 × 1,056.40
  4. Step 4: Simplify right side
    3,247.64x = 5,145,724.40
  5. Step 5: Solve for x
    x = 5,145,724.40/3,247.64
  6. Step 6: Final answer
    x = 1,584.45

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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.