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Finding the Fourth Proportional to 6,500.70, 8,970.84 and 3,812.58

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Solution

The fourth proportional to 6,500.70, 8,970.84 and 3,812.58 is: 5,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.70 : 8,970.84 = 3,812.58 : x
  2. Step 2: Convert to fraction form
    6,500.70/8,970.84 = 3,812.58/x
  3. Step 3: Cross multiply
    6,500.70x = 8,970.84 × 3,812.58
  4. Step 4: Simplify right side
    6,500.70x = 34,202,045.17
  5. Step 5: Solve for x
    x = 34,202,045.17/6,500.70
  6. Step 6: Final answer
    x = 5,261.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.