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Finding the Fourth Proportional to 27,987.40, 41,966.70 and 10,448.20

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Solution

The fourth proportional to 27,987.40, 41,966.70 and 10,448.20 is: 15,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.40 : 41,966.70 = 10,448.20 : x
  2. Step 2: Convert to fraction form
    27,987.40/41,966.70 = 10,448.20/x
  3. Step 3: Cross multiply
    27,987.40x = 41,966.70 × 10,448.20
  4. Step 4: Simplify right side
    27,987.40x = 438,476,474.94
  5. Step 5: Solve for x
    x = 438,476,474.94/27,987.40
  6. Step 6: Final answer
    x = 15,666.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.