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Finding the Fourth Proportional to 10,559.81, 15,828.73 and 5,564.45

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Solution

The fourth proportional to 10,559.81, 15,828.73 and 5,564.45 is: 8,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.81 : 15,828.73 = 5,564.45 : x
  2. Step 2: Convert to fraction form
    10,559.81/15,828.73 = 5,564.45/x
  3. Step 3: Cross multiply
    10,559.81x = 15,828.73 × 5,564.45
  4. Step 4: Simplify right side
    10,559.81x = 88,078,083.59
  5. Step 5: Solve for x
    x = 88,078,083.59/10,559.81
  6. Step 6: Final answer
    x = 8,340.88

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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.