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Finding the Fourth Proportional to 15,705, 23,667.78 and 14,146.80

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Solution

The fourth proportional to 15,705, 23,667.78 and 14,146.80 is: 21,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705 : 23,667.78 = 14,146.80 : x
  2. Step 2: Convert to fraction form
    15,705/23,667.78 = 14,146.80/x
  3. Step 3: Cross multiply
    15,705x = 23,667.78 × 14,146.80
  4. Step 4: Simplify right side
    15,705x = 334,823,350.10
  5. Step 5: Solve for x
    x = 334,823,350.10/15,705
  6. Step 6: Final answer
    x = 21,319.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.