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Finding the Fourth Proportional to 2,864.86, 4,297.40 and 916.81

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Solution

The fourth proportional to 2,864.86, 4,297.40 and 916.81 is: 1,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.86 : 4,297.40 = 916.81 : x
  2. Step 2: Convert to fraction form
    2,864.86/4,297.40 = 916.81/x
  3. Step 3: Cross multiply
    2,864.86x = 4,297.40 × 916.81
  4. Step 4: Simplify right side
    2,864.86x = 3,939,905.45
  5. Step 5: Solve for x
    x = 3,939,905.45/2,864.86
  6. Step 6: Final answer
    x = 1,375.25

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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.