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Finding the Fourth Proportional to 5,120.64, 7,683.12 and 4,712.00

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Solution

The fourth proportional to 5,120.64, 7,683.12 and 4,712.00 is: 7,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.64 : 7,683.12 = 4,712.00 : x
  2. Step 2: Convert to fraction form
    5,120.64/7,683.12 = 4,712.00/x
  3. Step 3: Cross multiply
    5,120.64x = 7,683.12 × 4,712.00
  4. Step 4: Simplify right side
    5,120.64x = 36,202,823.02
  5. Step 5: Solve for x
    x = 36,202,823.02/5,120.64
  6. Step 6: Final answer
    x = 7,069.98

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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.