Home / 2,148.81-3,224.16-916.35

Finding the Fourth Proportional to 2,148.81, 3,224.16 and 916.35

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Solution

The fourth proportional to 2,148.81, 3,224.16 and 916.35 is: 1,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.81 : 3,224.16 = 916.35 : x
  2. Step 2: Convert to fraction form
    2,148.81/3,224.16 = 916.35/x
  3. Step 3: Cross multiply
    2,148.81x = 3,224.16 × 916.35
  4. Step 4: Simplify right side
    2,148.81x = 2,954,459.02
  5. Step 5: Solve for x
    x = 2,954,459.02/2,148.81
  6. Step 6: Final answer
    x = 1,374.93

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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.