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Finding the Fourth Proportional to 21,970.50, 32,950.80 and 10,112.90

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Solution

The fourth proportional to 21,970.50, 32,950.80 and 10,112.90 is: 15,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.50 : 32,950.80 = 10,112.90 : x
  2. Step 2: Convert to fraction form
    21,970.50/32,950.80 = 10,112.90/x
  3. Step 3: Cross multiply
    21,970.50x = 32,950.80 × 10,112.90
  4. Step 4: Simplify right side
    21,970.50x = 333,228,145.32
  5. Step 5: Solve for x
    x = 333,228,145.32/21,970.50
  6. Step 6: Final answer
    x = 15,167.07

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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.