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Finding the Fourth Proportional to 35,963.72, 53,970.42 and 12,590

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Solution

The fourth proportional to 35,963.72, 53,970.42 and 12,590 is: 18,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,963.72 : 53,970.42 = 12,590 : x
  2. Step 2: Convert to fraction form
    35,963.72/53,970.42 = 12,590/x
  3. Step 3: Cross multiply
    35,963.72x = 53,970.42 × 12,590
  4. Step 4: Simplify right side
    35,963.72x = 679,487,587.80
  5. Step 5: Solve for x
    x = 679,487,587.80/35,963.72
  6. Step 6: Final answer
    x = 18,893.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.