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Finding the Fourth Proportional to 5,656.90, 7,807.42 and 3,419.08

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Solution

The fourth proportional to 5,656.90, 7,807.42 and 3,419.08 is: 4,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.90 : 7,807.42 = 3,419.08 : x
  2. Step 2: Convert to fraction form
    5,656.90/7,807.42 = 3,419.08/x
  3. Step 3: Cross multiply
    5,656.90x = 7,807.42 × 3,419.08
  4. Step 4: Simplify right side
    5,656.90x = 26,694,193.57
  5. Step 5: Solve for x
    x = 26,694,193.57/5,656.90
  6. Step 6: Final answer
    x = 4,718.87

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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.