Home / 27,981.84-38,592-20,419.68

Finding the Fourth Proportional to 27,981.84, 38,592 and 20,419.68

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Solution

The fourth proportional to 27,981.84, 38,592 and 20,419.68 is: 28,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,981.84 : 38,592 = 20,419.68 : x
  2. Step 2: Convert to fraction form
    27,981.84/38,592 = 20,419.68/x
  3. Step 3: Cross multiply
    27,981.84x = 38,592 × 20,419.68
  4. Step 4: Simplify right side
    27,981.84x = 788,036,290.56
  5. Step 5: Solve for x
    x = 788,036,290.56/27,981.84
  6. Step 6: Final answer
    x = 28,162.42

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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.