Home / 2,864.23-4,296.53-916.48

Finding the Fourth Proportional to 2,864.23, 4,296.53 and 916.48

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Solution

The fourth proportional to 2,864.23, 4,296.53 and 916.48 is: 1,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.23 : 4,296.53 = 916.48 : x
  2. Step 2: Convert to fraction form
    2,864.23/4,296.53 = 916.48/x
  3. Step 3: Cross multiply
    2,864.23x = 4,296.53 × 916.48
  4. Step 4: Simplify right side
    2,864.23x = 3,937,683.81
  5. Step 5: Solve for x
    x = 3,937,683.81/2,864.23
  6. Step 6: Final answer
    x = 1,374.78

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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.