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Finding the Fourth Proportional to 21,703.30, 32,530.65 and 12,347.80

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Solution

The fourth proportional to 21,703.30, 32,530.65 and 12,347.80 is: 18,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703.30 : 32,530.65 = 12,347.80 : x
  2. Step 2: Convert to fraction form
    21,703.30/32,530.65 = 12,347.80/x
  3. Step 3: Cross multiply
    21,703.30x = 32,530.65 × 12,347.80
  4. Step 4: Simplify right side
    21,703.30x = 401,681,960.07
  5. Step 5: Solve for x
    x = 401,681,960.07/21,703.30
  6. Step 6: Final answer
    x = 18,507.87

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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.