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Finding the Fourth Proportional to 22,483.78, 31,022.80 and 13,047.28

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Solution

The fourth proportional to 22,483.78, 31,022.80 and 13,047.28 is: 18,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483.78 : 31,022.80 = 13,047.28 : x
  2. Step 2: Convert to fraction form
    22,483.78/31,022.80 = 13,047.28/x
  3. Step 3: Cross multiply
    22,483.78x = 31,022.80 × 13,047.28
  4. Step 4: Simplify right side
    22,483.78x = 404,763,157.98
  5. Step 5: Solve for x
    x = 404,763,157.98/22,483.78
  6. Step 6: Final answer
    x = 18,002.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.