Home / 2,038.17-2,811.78-1,565.23

Finding the Fourth Proportional to 2,038.17, 2,811.78 and 1,565.23

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Solution

The fourth proportional to 2,038.17, 2,811.78 and 1,565.23 is: 2,159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.17 : 2,811.78 = 1,565.23 : x
  2. Step 2: Convert to fraction form
    2,038.17/2,811.78 = 1,565.23/x
  3. Step 3: Cross multiply
    2,038.17x = 2,811.78 × 1,565.23
  4. Step 4: Simplify right side
    2,038.17x = 4,401,082.41
  5. Step 5: Solve for x
    x = 4,401,082.41/2,038.17
  6. Step 6: Final answer
    x = 2,159.33

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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.