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Finding the Fourth Proportional to 21,980.76, 30,332.16 and 13,029.12

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Solution

The fourth proportional to 21,980.76, 30,332.16 and 13,029.12 is: 17,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.76 : 30,332.16 = 13,029.12 : x
  2. Step 2: Convert to fraction form
    21,980.76/30,332.16 = 13,029.12/x
  3. Step 3: Cross multiply
    21,980.76x = 30,332.16 × 13,029.12
  4. Step 4: Simplify right side
    21,980.76x = 395,201,352.50
  5. Step 5: Solve for x
    x = 395,201,352.50/21,980.76
  6. Step 6: Final answer
    x = 17,979.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.