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Finding the Fourth Proportional to 10,805.78, 14,911.78 and 6,090.06

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Solution

The fourth proportional to 10,805.78, 14,911.78 and 6,090.06 is: 8,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.78 : 14,911.78 = 6,090.06 : x
  2. Step 2: Convert to fraction form
    10,805.78/14,911.78 = 6,090.06/x
  3. Step 3: Cross multiply
    10,805.78x = 14,911.78 × 6,090.06
  4. Step 4: Simplify right side
    10,805.78x = 90,813,634.91
  5. Step 5: Solve for x
    x = 90,813,634.91/10,805.78
  6. Step 6: Final answer
    x = 8,404.17

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1.5x scale

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.