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Finding the Fourth Proportional to 3,117.34, 4,301.76 and 1,720

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Solution

The fourth proportional to 3,117.34, 4,301.76 and 1,720 is: 2,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.34 : 4,301.76 = 1,720 : x
  2. Step 2: Convert to fraction form
    3,117.34/4,301.76 = 1,720/x
  3. Step 3: Cross multiply
    3,117.34x = 4,301.76 × 1,720
  4. Step 4: Simplify right side
    3,117.34x = 7,399,027.20
  5. Step 5: Solve for x
    x = 7,399,027.20/3,117.34
  6. Step 6: Final answer
    x = 2,373.51

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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.