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Finding the Fourth Proportional to 28,971, 39,980.46 and 15,723

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Solution

The fourth proportional to 28,971, 39,980.46 and 15,723 is: 21,698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,971 : 39,980.46 = 15,723 : x
  2. Step 2: Convert to fraction form
    28,971/39,980.46 = 15,723/x
  3. Step 3: Cross multiply
    28,971x = 39,980.46 × 15,723
  4. Step 4: Simplify right side
    28,971x = 628,612,772.58
  5. Step 5: Solve for x
    x = 628,612,772.58/28,971
  6. Step 6: Final answer
    x = 21,698.00

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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.