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Finding the Fourth Proportional to 28,322.88, 39,083.76 and 17,712

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Solution

The fourth proportional to 28,322.88, 39,083.76 and 17,712 is: 24,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,322.88 : 39,083.76 = 17,712 : x
  2. Step 2: Convert to fraction form
    28,322.88/39,083.76 = 17,712/x
  3. Step 3: Cross multiply
    28,322.88x = 39,083.76 × 17,712
  4. Step 4: Simplify right side
    28,322.88x = 692,251,557.12
  5. Step 5: Solve for x
    x = 692,251,557.12/28,322.88
  6. Step 6: Final answer
    x = 24,441.43

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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.