Home / 2,376.16-3,564.29-816.15

Finding the Fourth Proportional to 2,376.16, 3,564.29 and 816.15

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Solution

The fourth proportional to 2,376.16, 3,564.29 and 816.15 is: 1,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.16 : 3,564.29 = 816.15 : x
  2. Step 2: Convert to fraction form
    2,376.16/3,564.29 = 816.15/x
  3. Step 3: Cross multiply
    2,376.16x = 3,564.29 × 816.15
  4. Step 4: Simplify right side
    2,376.16x = 2,908,995.28
  5. Step 5: Solve for x
    x = 2,908,995.28/2,376.16
  6. Step 6: Final answer
    x = 1,224.24

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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.