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Finding the Fourth Proportional to 12,822.64, 19,242.06 and 5,031.28

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Solution

The fourth proportional to 12,822.64, 19,242.06 and 5,031.28 is: 7,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.64 : 19,242.06 = 5,031.28 : x
  2. Step 2: Convert to fraction form
    12,822.64/19,242.06 = 5,031.28/x
  3. Step 3: Cross multiply
    12,822.64x = 19,242.06 × 5,031.28
  4. Step 4: Simplify right side
    12,822.64x = 96,812,191.64
  5. Step 5: Solve for x
    x = 96,812,191.64/12,822.64
  6. Step 6: Final answer
    x = 7,550.10

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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.