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Finding the Fourth Proportional to 6,239.61, 9,360 and 1,856.28

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Solution

The fourth proportional to 6,239.61, 9,360 and 1,856.28 is: 2,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239.61 : 9,360 = 1,856.28 : x
  2. Step 2: Convert to fraction form
    6,239.61/9,360 = 1,856.28/x
  3. Step 3: Cross multiply
    6,239.61x = 9,360 × 1,856.28
  4. Step 4: Simplify right side
    6,239.61x = 17,374,780.80
  5. Step 5: Solve for x
    x = 17,374,780.80/6,239.61
  6. Step 6: Final answer
    x = 2,784.59

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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.