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Finding the Fourth Proportional to 10,261.76, 15,392.64 and 2,865.60

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Solution

The fourth proportional to 10,261.76, 15,392.64 and 2,865.60 is: 4,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.76 : 15,392.64 = 2,865.60 : x
  2. Step 2: Convert to fraction form
    10,261.76/15,392.64 = 2,865.60/x
  3. Step 3: Cross multiply
    10,261.76x = 15,392.64 × 2,865.60
  4. Step 4: Simplify right side
    10,261.76x = 44,109,149.18
  5. Step 5: Solve for x
    x = 44,109,149.18/10,261.76
  6. Step 6: Final answer
    x = 4,298.40

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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.