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Finding the Fourth Proportional to 15,966, 23,970.20 and 13,640.94

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Solution

The fourth proportional to 15,966, 23,970.20 and 13,640.94 is: 20,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966 : 23,970.20 = 13,640.94 : x
  2. Step 2: Convert to fraction form
    15,966/23,970.20 = 13,640.94/x
  3. Step 3: Cross multiply
    15,966x = 23,970.20 × 13,640.94
  4. Step 4: Simplify right side
    15,966x = 326,975,991.78
  5. Step 5: Solve for x
    x = 326,975,991.78/15,966
  6. Step 6: Final answer
    x = 20,479.52

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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.