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Finding the Fourth Proportional to 11,345, 15,656.90 and 6,377

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Solution

The fourth proportional to 11,345, 15,656.90 and 6,377 is: 8,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345 : 15,656.90 = 6,377 : x
  2. Step 2: Convert to fraction form
    11,345/15,656.90 = 6,377/x
  3. Step 3: Cross multiply
    11,345x = 15,656.90 × 6,377
  4. Step 4: Simplify right side
    11,345x = 99,844,051.30
  5. Step 5: Solve for x
    x = 99,844,051.30/11,345
  6. Step 6: Final answer
    x = 8,800.71

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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.