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Finding the Fourth Proportional to 5,658.26, 7,807.26 and 3,420.26

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Solution

The fourth proportional to 5,658.26, 7,807.26 and 3,420.26 is: 4,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.26 : 7,807.26 = 3,420.26 : x
  2. Step 2: Convert to fraction form
    5,658.26/7,807.26 = 3,420.26/x
  3. Step 3: Cross multiply
    5,658.26x = 7,807.26 × 3,420.26
  4. Step 4: Simplify right side
    5,658.26x = 26,702,885.47
  5. Step 5: Solve for x
    x = 26,702,885.47/5,658.26
  6. Step 6: Final answer
    x = 4,719.28

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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.