Home / 1,820.87-2,731.28-522.35

Finding the Fourth Proportional to 1,820.87, 2,731.28 and 522.35

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Solution

The fourth proportional to 1,820.87, 2,731.28 and 522.35 is: 783.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.87 : 2,731.28 = 522.35 : x
  2. Step 2: Convert to fraction form
    1,820.87/2,731.28 = 522.35/x
  3. Step 3: Cross multiply
    1,820.87x = 2,731.28 × 522.35
  4. Step 4: Simplify right side
    1,820.87x = 1,426,667.84
  5. Step 5: Solve for x
    x = 1,426,667.84/1,820.87
  6. Step 6: Final answer
    x = 783.51

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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.