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Finding the Fourth Proportional to 8,635.02, 12,937.95 and 6,900

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Solution

The fourth proportional to 8,635.02, 12,937.95 and 6,900 is: 10,338.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.02 : 12,937.95 = 6,900 : x
  2. Step 2: Convert to fraction form
    8,635.02/12,937.95 = 6,900/x
  3. Step 3: Cross multiply
    8,635.02x = 12,937.95 × 6,900
  4. Step 4: Simplify right side
    8,635.02x = 89,271,855
  5. Step 5: Solve for x
    x = 89,271,855/8,635.02
  6. Step 6: Final answer
    x = 10,338.35

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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.