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Finding the Fourth Proportional to 10,491.84, 15,728.54 and 5,564.97

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Solution

The fourth proportional to 10,491.84, 15,728.54 and 5,564.97 is: 8,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.84 : 15,728.54 = 5,564.97 : x
  2. Step 2: Convert to fraction form
    10,491.84/15,728.54 = 5,564.97/x
  3. Step 3: Cross multiply
    10,491.84x = 15,728.54 × 5,564.97
  4. Step 4: Simplify right side
    10,491.84x = 87,528,825.42
  5. Step 5: Solve for x
    x = 87,528,825.42/10,491.84
  6. Step 6: Final answer
    x = 8,342.56

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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.