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Finding the Fourth Proportional to 12,722.54, 17,557.10 and 7,133.54

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Solution

The fourth proportional to 12,722.54, 17,557.10 and 7,133.54 is: 9,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.54 : 17,557.10 = 7,133.54 : x
  2. Step 2: Convert to fraction form
    12,722.54/17,557.10 = 7,133.54/x
  3. Step 3: Cross multiply
    12,722.54x = 17,557.10 × 7,133.54
  4. Step 4: Simplify right side
    12,722.54x = 125,244,275.13
  5. Step 5: Solve for x
    x = 125,244,275.13/12,722.54
  6. Step 6: Final answer
    x = 9,844.28

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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.