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Finding the Fourth Proportional to 10,873.76, 15,005.76 and 5,905.76

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Solution

The fourth proportional to 10,873.76, 15,005.76 and 5,905.76 is: 8,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.76 : 15,005.76 = 5,905.76 : x
  2. Step 2: Convert to fraction form
    10,873.76/15,005.76 = 5,905.76/x
  3. Step 3: Cross multiply
    10,873.76x = 15,005.76 × 5,905.76
  4. Step 4: Simplify right side
    10,873.76x = 88,620,417.18
  5. Step 5: Solve for x
    x = 88,620,417.18/10,873.76
  6. Step 6: Final answer
    x = 8,149.93

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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.