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Finding the Fourth Proportional to 28,878, 39,851.76 and 15,630

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Solution

The fourth proportional to 28,878, 39,851.76 and 15,630 is: 21,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,878 : 39,851.76 = 15,630 : x
  2. Step 2: Convert to fraction form
    28,878/39,851.76 = 15,630/x
  3. Step 3: Cross multiply
    28,878x = 39,851.76 × 15,630
  4. Step 4: Simplify right side
    28,878x = 622,883,008.80
  5. Step 5: Solve for x
    x = 622,883,008.80/28,878
  6. Step 6: Final answer
    x = 21,569.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.