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Finding the Fourth Proportional to 21,872.47, 32,800.63 and 7,828.69

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Solution

The fourth proportional to 21,872.47, 32,800.63 and 7,828.69 is: 11,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.47 : 32,800.63 = 7,828.69 : x
  2. Step 2: Convert to fraction form
    21,872.47/32,800.63 = 7,828.69/x
  3. Step 3: Cross multiply
    21,872.47x = 32,800.63 × 7,828.69
  4. Step 4: Simplify right side
    21,872.47x = 256,785,964.07
  5. Step 5: Solve for x
    x = 256,785,964.07/21,872.47
  6. Step 6: Final answer
    x = 11,740.14

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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.