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Finding the Fourth Proportional to 5,686.31, 7,847.16 and 3,328.50

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Solution

The fourth proportional to 5,686.31, 7,847.16 and 3,328.50 is: 4,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.31 : 7,847.16 = 3,328.50 : x
  2. Step 2: Convert to fraction form
    5,686.31/7,847.16 = 3,328.50/x
  3. Step 3: Cross multiply
    5,686.31x = 7,847.16 × 3,328.50
  4. Step 4: Simplify right side
    5,686.31x = 26,119,307.73
  5. Step 5: Solve for x
    x = 26,119,307.73/5,686.31
  6. Step 6: Final answer
    x = 4,593.36

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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.