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Finding the Fourth Proportional to 10,561.76, 15,863.16 and 7,777.44

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Solution

The fourth proportional to 10,561.76, 15,863.16 and 7,777.44 is: 11,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.76 : 15,863.16 = 7,777.44 : x
  2. Step 2: Convert to fraction form
    10,561.76/15,863.16 = 7,777.44/x
  3. Step 3: Cross multiply
    10,561.76x = 15,863.16 × 7,777.44
  4. Step 4: Simplify right side
    10,561.76x = 123,374,775.11
  5. Step 5: Solve for x
    x = 123,374,775.11/10,561.76
  6. Step 6: Final answer
    x = 11,681.27

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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.