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Finding the Fourth Proportional to 21,201.70, 31,802.55 and 7,352.10

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Solution

The fourth proportional to 21,201.70, 31,802.55 and 7,352.10 is: 11,028.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.70 : 31,802.55 = 7,352.10 : x
  2. Step 2: Convert to fraction form
    21,201.70/31,802.55 = 7,352.10/x
  3. Step 3: Cross multiply
    21,201.70x = 31,802.55 × 7,352.10
  4. Step 4: Simplify right side
    21,201.70x = 233,815,527.86
  5. Step 5: Solve for x
    x = 233,815,527.86/21,201.70
  6. Step 6: Final answer
    x = 11,028.15

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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.