Home / 2,088-2,876.16-1,563.36

Finding the Fourth Proportional to 2,088, 2,876.16 and 1,563.36

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Solution

The fourth proportional to 2,088, 2,876.16 and 1,563.36 is: 2,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088 : 2,876.16 = 1,563.36 : x
  2. Step 2: Convert to fraction form
    2,088/2,876.16 = 1,563.36/x
  3. Step 3: Cross multiply
    2,088x = 2,876.16 × 1,563.36
  4. Step 4: Simplify right side
    2,088x = 4,496,473.50
  5. Step 5: Solve for x
    x = 4,496,473.50/2,088
  6. Step 6: Final answer
    x = 2,153.48

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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.