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Finding the Fourth Proportional to 28,278, 39,024.72 and 15,702.48

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Solution

The fourth proportional to 28,278, 39,024.72 and 15,702.48 is: 21,670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,278 : 39,024.72 = 15,702.48 : x
  2. Step 2: Convert to fraction form
    28,278/39,024.72 = 15,702.48/x
  3. Step 3: Cross multiply
    28,278x = 39,024.72 × 15,702.48
  4. Step 4: Simplify right side
    28,278x = 612,784,885.31
  5. Step 5: Solve for x
    x = 612,784,885.31/28,278
  6. Step 6: Final answer
    x = 21,670.02

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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.