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Finding the Fourth Proportional to 3,663.86, 5,056.89 and 3,368.66

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Solution

The fourth proportional to 3,663.86, 5,056.89 and 3,368.66 is: 4,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.86 : 5,056.89 = 3,368.66 : x
  2. Step 2: Convert to fraction form
    3,663.86/5,056.89 = 3,368.66/x
  3. Step 3: Cross multiply
    3,663.86x = 5,056.89 × 3,368.66
  4. Step 4: Simplify right side
    3,663.86x = 17,034,943.07
  5. Step 5: Solve for x
    x = 17,034,943.07/3,663.86
  6. Step 6: Final answer
    x = 4,649.45

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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.