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Finding the Fourth Proportional to 6,531.76, 8,994 and 5,788.72

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Solution

The fourth proportional to 6,531.76, 8,994 and 5,788.72 is: 7,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.76 : 8,994 = 5,788.72 : x
  2. Step 2: Convert to fraction form
    6,531.76/8,994 = 5,788.72/x
  3. Step 3: Cross multiply
    6,531.76x = 8,994 × 5,788.72
  4. Step 4: Simplify right side
    6,531.76x = 52,063,747.68
  5. Step 5: Solve for x
    x = 52,063,747.68/6,531.76
  6. Step 6: Final answer
    x = 7,970.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.