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Finding the Fourth Proportional to 5,886.90, 8,780.76 and 5,478.66

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Solution

The fourth proportional to 5,886.90, 8,780.76 and 5,478.66 is: 8,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.90 : 8,780.76 = 5,478.66 : x
  2. Step 2: Convert to fraction form
    5,886.90/8,780.76 = 5,478.66/x
  3. Step 3: Cross multiply
    5,886.90x = 8,780.76 × 5,478.66
  4. Step 4: Simplify right side
    5,886.90x = 48,106,798.58
  5. Step 5: Solve for x
    x = 48,106,798.58/5,886.90
  6. Step 6: Final answer
    x = 8,171.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.