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Finding the Fourth Proportional to 5,417.34, 8,125.95 and 1,719.47

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Solution

The fourth proportional to 5,417.34, 8,125.95 and 1,719.47 is: 2,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.34 : 8,125.95 = 1,719.47 : x
  2. Step 2: Convert to fraction form
    5,417.34/8,125.95 = 1,719.47/x
  3. Step 3: Cross multiply
    5,417.34x = 8,125.95 × 1,719.47
  4. Step 4: Simplify right side
    5,417.34x = 13,972,327.25
  5. Step 5: Solve for x
    x = 13,972,327.25/5,417.34
  6. Step 6: Final answer
    x = 2,579.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.