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Finding the Fourth Proportional to 21,019.50, 31,534.25 and 7,168.50

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Solution

The fourth proportional to 21,019.50, 31,534.25 and 7,168.50 is: 10,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019.50 : 31,534.25 = 7,168.50 : x
  2. Step 2: Convert to fraction form
    21,019.50/31,534.25 = 7,168.50/x
  3. Step 3: Cross multiply
    21,019.50x = 31,534.25 × 7,168.50
  4. Step 4: Simplify right side
    21,019.50x = 226,053,235.28
  5. Step 5: Solve for x
    x = 226,053,235.28/21,019.50
  6. Step 6: Final answer
    x = 10,754.45

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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.