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Finding the Fourth Proportional to 15,311.84, 22,989.04 and 7,921.76

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Solution

The fourth proportional to 15,311.84, 22,989.04 and 7,921.76 is: 11,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,311.84 : 22,989.04 = 7,921.76 : x
  2. Step 2: Convert to fraction form
    15,311.84/22,989.04 = 7,921.76/x
  3. Step 3: Cross multiply
    15,311.84x = 22,989.04 × 7,921.76
  4. Step 4: Simplify right side
    15,311.84x = 182,113,657.51
  5. Step 5: Solve for x
    x = 182,113,657.51/15,311.84
  6. Step 6: Final answer
    x = 11,893.65

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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.