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Finding the Fourth Proportional to 5,781.60, 8,673.76 and 1,886

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Solution

The fourth proportional to 5,781.60, 8,673.76 and 1,886 is: 2,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.60 : 8,673.76 = 1,886 : x
  2. Step 2: Convert to fraction form
    5,781.60/8,673.76 = 1,886/x
  3. Step 3: Cross multiply
    5,781.60x = 8,673.76 × 1,886
  4. Step 4: Simplify right side
    5,781.60x = 16,358,706.65
  5. Step 5: Solve for x
    x = 16,358,706.65/5,781.60
  6. Step 6: Final answer
    x = 2,829.45

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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.