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Finding the Fourth Proportional to 27,955.76, 38,578.80 and 16,019.28

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Solution

The fourth proportional to 27,955.76, 38,578.80 and 16,019.28 is: 22,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,955.76 : 38,578.80 = 16,019.28 : x
  2. Step 2: Convert to fraction form
    27,955.76/38,578.80 = 16,019.28/x
  3. Step 3: Cross multiply
    27,955.76x = 38,578.80 × 16,019.28
  4. Step 4: Simplify right side
    27,955.76x = 618,004,599.26
  5. Step 5: Solve for x
    x = 618,004,599.26/27,955.76
  6. Step 6: Final answer
    x = 22,106.52

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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.