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Finding the Fourth Proportional to 28,083, 42,136.80 and 13,302.48

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Solution

The fourth proportional to 28,083, 42,136.80 and 13,302.48 is: 19,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,083 : 42,136.80 = 13,302.48 : x
  2. Step 2: Convert to fraction form
    28,083/42,136.80 = 13,302.48/x
  3. Step 3: Cross multiply
    28,083x = 42,136.80 × 13,302.48
  4. Step 4: Simplify right side
    28,083x = 560,523,939.26
  5. Step 5: Solve for x
    x = 560,523,939.26/28,083
  6. Step 6: Final answer
    x = 19,959.55

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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.