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Finding the Fourth Proportional to 21,987.96, 32,978.74 and 7,197.46

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Solution

The fourth proportional to 21,987.96, 32,978.74 and 7,197.46 is: 10,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.96 : 32,978.74 = 7,197.46 : x
  2. Step 2: Convert to fraction form
    21,987.96/32,978.74 = 7,197.46/x
  3. Step 3: Cross multiply
    21,987.96x = 32,978.74 × 7,197.46
  4. Step 4: Simplify right side
    21,987.96x = 237,363,162.00
  5. Step 5: Solve for x
    x = 237,363,162.00/21,987.96
  6. Step 6: Final answer
    x = 10,795.14

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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.