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Finding the Fourth Proportional to 6,538.76, 9,809.80 and 1,921.76

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Solution

The fourth proportional to 6,538.76, 9,809.80 and 1,921.76 is: 2,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.76 : 9,809.80 = 1,921.76 : x
  2. Step 2: Convert to fraction form
    6,538.76/9,809.80 = 1,921.76/x
  3. Step 3: Cross multiply
    6,538.76x = 9,809.80 × 1,921.76
  4. Step 4: Simplify right side
    6,538.76x = 18,852,081.25
  5. Step 5: Solve for x
    x = 18,852,081.25/6,538.76
  6. Step 6: Final answer
    x = 2,883.13

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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.