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Finding the Fourth Proportional to 5,679.71, 7,835.81 and 4,191.20

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Solution

The fourth proportional to 5,679.71, 7,835.81 and 4,191.20 is: 5,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.71 : 7,835.81 = 4,191.20 : x
  2. Step 2: Convert to fraction form
    5,679.71/7,835.81 = 4,191.20/x
  3. Step 3: Cross multiply
    5,679.71x = 7,835.81 × 4,191.20
  4. Step 4: Simplify right side
    5,679.71x = 32,841,386.74
  5. Step 5: Solve for x
    x = 32,841,386.74/5,679.71
  6. Step 6: Final answer
    x = 5,782.23

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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.