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Finding the Fourth Proportional to 21,132.99, 31,697.06 and 7,986.69

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Solution

The fourth proportional to 21,132.99, 31,697.06 and 7,986.69 is: 11,979.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,132.99 : 31,697.06 = 7,986.69 : x
  2. Step 2: Convert to fraction form
    21,132.99/31,697.06 = 7,986.69/x
  3. Step 3: Cross multiply
    21,132.99x = 31,697.06 × 7,986.69
  4. Step 4: Simplify right side
    21,132.99x = 253,154,552.20
  5. Step 5: Solve for x
    x = 253,154,552.20/21,132.99
  6. Step 6: Final answer
    x = 11,979.12

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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.