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Finding the Fourth Proportional to 26,384, 36,409.92 and 15,206.72

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Solution

The fourth proportional to 26,384, 36,409.92 and 15,206.72 is: 20,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384 : 36,409.92 = 15,206.72 : x
  2. Step 2: Convert to fraction form
    26,384/36,409.92 = 15,206.72/x
  3. Step 3: Cross multiply
    26,384x = 36,409.92 × 15,206.72
  4. Step 4: Simplify right side
    26,384x = 553,675,458.66
  5. Step 5: Solve for x
    x = 553,675,458.66/26,384
  6. Step 6: Final answer
    x = 20,985.27

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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.