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Finding the Fourth Proportional to 28,407, 39,160.67 and 19,882.74

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Solution

The fourth proportional to 28,407, 39,160.67 and 19,882.74 is: 27,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,407 : 39,160.67 = 19,882.74 : x
  2. Step 2: Convert to fraction form
    28,407/39,160.67 = 19,882.74/x
  3. Step 3: Cross multiply
    28,407x = 39,160.67 × 19,882.74
  4. Step 4: Simplify right side
    28,407x = 778,621,419.84
  5. Step 5: Solve for x
    x = 778,621,419.84/28,407
  6. Step 6: Final answer
    x = 27,409.49

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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.