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Finding the Fourth Proportional to 15,899, 23,828.40 and 13,919.78

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Solution

The fourth proportional to 15,899, 23,828.40 and 13,919.78 is: 20,862.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899 : 23,828.40 = 13,919.78 : x
  2. Step 2: Convert to fraction form
    15,899/23,828.40 = 13,919.78/x
  3. Step 3: Cross multiply
    15,899x = 23,828.40 × 13,919.78
  4. Step 4: Simplify right side
    15,899x = 331,686,085.75
  5. Step 5: Solve for x
    x = 331,686,085.75/15,899
  6. Step 6: Final answer
    x = 20,862.07

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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.