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Finding the Fourth Proportional to 15,665.84, 23,499.84 and 5,278.40

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Solution

The fourth proportional to 15,665.84, 23,499.84 and 5,278.40 is: 7,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.84 : 23,499.84 = 5,278.40 : x
  2. Step 2: Convert to fraction form
    15,665.84/23,499.84 = 5,278.40/x
  3. Step 3: Cross multiply
    15,665.84x = 23,499.84 × 5,278.40
  4. Step 4: Simplify right side
    15,665.84x = 124,041,555.46
  5. Step 5: Solve for x
    x = 124,041,555.46/15,665.84
  6. Step 6: Final answer
    x = 7,917.96

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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.