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Finding the Fourth Proportional to 8,746, 13,119.36 and 2,590

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Solution

The fourth proportional to 8,746, 13,119.36 and 2,590 is: 3,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746 : 13,119.36 = 2,590 : x
  2. Step 2: Convert to fraction form
    8,746/13,119.36 = 2,590/x
  3. Step 3: Cross multiply
    8,746x = 13,119.36 × 2,590
  4. Step 4: Simplify right side
    8,746x = 33,979,142.40
  5. Step 5: Solve for x
    x = 33,979,142.40/8,746
  6. Step 6: Final answer
    x = 3,885.11

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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.