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Finding the Fourth Proportional to 28,959.52, 39,964.98 and 16,384

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Solution

The fourth proportional to 28,959.52, 39,964.98 and 16,384 is: 22,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,959.52 : 39,964.98 = 16,384 : x
  2. Step 2: Convert to fraction form
    28,959.52/39,964.98 = 16,384/x
  3. Step 3: Cross multiply
    28,959.52x = 39,964.98 × 16,384
  4. Step 4: Simplify right side
    28,959.52x = 654,786,232.32
  5. Step 5: Solve for x
    x = 654,786,232.32/28,959.52
  6. Step 6: Final answer
    x = 22,610.40

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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.