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Finding the Fourth Proportional to 21,162.54, 31,750.02 and 9,473.16

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Solution

The fourth proportional to 21,162.54, 31,750.02 and 9,473.16 is: 14,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.54 : 31,750.02 = 9,473.16 : x
  2. Step 2: Convert to fraction form
    21,162.54/31,750.02 = 9,473.16/x
  3. Step 3: Cross multiply
    21,162.54x = 31,750.02 × 9,473.16
  4. Step 4: Simplify right side
    21,162.54x = 300,773,019.46
  5. Step 5: Solve for x
    x = 300,773,019.46/21,162.54
  6. Step 6: Final answer
    x = 14,212.52

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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.