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Finding the Fourth Proportional to 21,141.87, 31,712.88 and 7,101.50

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Solution

The fourth proportional to 21,141.87, 31,712.88 and 7,101.50 is: 10,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141.87 : 31,712.88 = 7,101.50 : x
  2. Step 2: Convert to fraction form
    21,141.87/31,712.88 = 7,101.50/x
  3. Step 3: Cross multiply
    21,141.87x = 31,712.88 × 7,101.50
  4. Step 4: Simplify right side
    21,141.87x = 225,208,858.76
  5. Step 5: Solve for x
    x = 225,208,858.76/21,141.87
  6. Step 6: Final answer
    x = 10,652.27

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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.