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Finding the Fourth Proportional to 21,482.69, 32,223.54 and 12,654.02

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Solution

The fourth proportional to 21,482.69, 32,223.54 and 12,654.02 is: 18,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,482.69 : 32,223.54 = 12,654.02 : x
  2. Step 2: Convert to fraction form
    21,482.69/32,223.54 = 12,654.02/x
  3. Step 3: Cross multiply
    21,482.69x = 32,223.54 × 12,654.02
  4. Step 4: Simplify right side
    21,482.69x = 407,757,400.19
  5. Step 5: Solve for x
    x = 407,757,400.19/21,482.69
  6. Step 6: Final answer
    x = 18,980.75

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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.