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Finding the Fourth Proportional to 5,378.92, 8,070 and 1,681.54

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Solution

The fourth proportional to 5,378.92, 8,070 and 1,681.54 is: 2,522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.92 : 8,070 = 1,681.54 : x
  2. Step 2: Convert to fraction form
    5,378.92/8,070 = 1,681.54/x
  3. Step 3: Cross multiply
    5,378.92x = 8,070 × 1,681.54
  4. Step 4: Simplify right side
    5,378.92x = 13,570,027.80
  5. Step 5: Solve for x
    x = 13,570,027.80/5,378.92
  6. Step 6: Final answer
    x = 2,522.82

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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.