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Finding the Fourth Proportional to 5,928.61, 8,886.17 and 1,978.94

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Solution

The fourth proportional to 5,928.61, 8,886.17 and 1,978.94 is: 2,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.61 : 8,886.17 = 1,978.94 : x
  2. Step 2: Convert to fraction form
    5,928.61/8,886.17 = 1,978.94/x
  3. Step 3: Cross multiply
    5,928.61x = 8,886.17 × 1,978.94
  4. Step 4: Simplify right side
    5,928.61x = 17,585,197.26
  5. Step 5: Solve for x
    x = 17,585,197.26/5,928.61
  6. Step 6: Final answer
    x = 2,966.16

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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.