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Finding the Fourth Proportional to 10,502.80, 15,740.80 and 5,574.80

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Solution

The fourth proportional to 10,502.80, 15,740.80 and 5,574.80 is: 8,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.80 : 15,740.80 = 5,574.80 : x
  2. Step 2: Convert to fraction form
    10,502.80/15,740.80 = 5,574.80/x
  3. Step 3: Cross multiply
    10,502.80x = 15,740.80 × 5,574.80
  4. Step 4: Simplify right side
    10,502.80x = 87,751,811.84
  5. Step 5: Solve for x
    x = 87,751,811.84/10,502.80
  6. Step 6: Final answer
    x = 8,355.09

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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.