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Finding the Fourth Proportional to 10,670.48, 15,972.12 and 8,804.24

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Solution

The fourth proportional to 10,670.48, 15,972.12 and 8,804.24 is: 13,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.48 : 15,972.12 = 8,804.24 : x
  2. Step 2: Convert to fraction form
    10,670.48/15,972.12 = 8,804.24/x
  3. Step 3: Cross multiply
    10,670.48x = 15,972.12 × 8,804.24
  4. Step 4: Simplify right side
    10,670.48x = 140,622,377.79
  5. Step 5: Solve for x
    x = 140,622,377.79/10,670.48
  6. Step 6: Final answer
    x = 13,178.64

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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.