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Finding the Fourth Proportional to 6,605.76, 9,905.76 and 1,987.68

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Solution

The fourth proportional to 6,605.76, 9,905.76 and 1,987.68 is: 2,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.76 : 9,905.76 = 1,987.68 : x
  2. Step 2: Convert to fraction form
    6,605.76/9,905.76 = 1,987.68/x
  3. Step 3: Cross multiply
    6,605.76x = 9,905.76 × 1,987.68
  4. Step 4: Simplify right side
    6,605.76x = 19,689,481.04
  5. Step 5: Solve for x
    x = 19,689,481.04/6,605.76
  6. Step 6: Final answer
    x = 2,980.65

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1.5x scale

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.