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Finding the Fourth Proportional to 21,423.84, 32,079.84 and 17,241

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Solution

The fourth proportional to 21,423.84, 32,079.84 and 17,241 is: 25,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.84 : 32,079.84 = 17,241 : x
  2. Step 2: Convert to fraction form
    21,423.84/32,079.84 = 17,241/x
  3. Step 3: Cross multiply
    21,423.84x = 32,079.84 × 17,241
  4. Step 4: Simplify right side
    21,423.84x = 553,088,521.44
  5. Step 5: Solve for x
    x = 553,088,521.44/21,423.84
  6. Step 6: Final answer
    x = 25,816.50

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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.