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Finding the Fourth Proportional to 21,872.40, 32,810.28 and 7,835.40

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Solution

The fourth proportional to 21,872.40, 32,810.28 and 7,835.40 is: 11,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.40 : 32,810.28 = 7,835.40 : x
  2. Step 2: Convert to fraction form
    21,872.40/32,810.28 = 7,835.40/x
  3. Step 3: Cross multiply
    21,872.40x = 32,810.28 × 7,835.40
  4. Step 4: Simplify right side
    21,872.40x = 257,081,667.91
  5. Step 5: Solve for x
    x = 257,081,667.91/21,872.40
  6. Step 6: Final answer
    x = 11,753.70

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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.