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Finding the Fourth Proportional to 28,971.75, 39,978.16 and 17,038.02

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Solution

The fourth proportional to 28,971.75, 39,978.16 and 17,038.02 is: 23,510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,971.75 : 39,978.16 = 17,038.02 : x
  2. Step 2: Convert to fraction form
    28,971.75/39,978.16 = 17,038.02/x
  3. Step 3: Cross multiply
    28,971.75x = 39,978.16 × 17,038.02
  4. Step 4: Simplify right side
    28,971.75x = 681,148,689.64
  5. Step 5: Solve for x
    x = 681,148,689.64/28,971.75
  6. Step 6: Final answer
    x = 23,510.79

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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.