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Finding the Fourth Proportional to 6,152.85, 8,500.05 and 5,686.29

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Solution

The fourth proportional to 6,152.85, 8,500.05 and 5,686.29 is: 7,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.85 : 8,500.05 = 5,686.29 : x
  2. Step 2: Convert to fraction form
    6,152.85/8,500.05 = 5,686.29/x
  3. Step 3: Cross multiply
    6,152.85x = 8,500.05 × 5,686.29
  4. Step 4: Simplify right side
    6,152.85x = 48,333,749.31
  5. Step 5: Solve for x
    x = 48,333,749.31/6,152.85
  6. Step 6: Final answer
    x = 7,855.51

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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.