Home / 2,420-3,623.12-1,595.76

Finding the Fourth Proportional to 2,420, 3,623.12 and 1,595.76

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Solution

The fourth proportional to 2,420, 3,623.12 and 1,595.76 is: 2,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420 : 3,623.12 = 1,595.76 : x
  2. Step 2: Convert to fraction form
    2,420/3,623.12 = 1,595.76/x
  3. Step 3: Cross multiply
    2,420x = 3,623.12 × 1,595.76
  4. Step 4: Simplify right side
    2,420x = 5,781,621.99
  5. Step 5: Solve for x
    x = 5,781,621.99/2,420
  6. Step 6: Final answer
    x = 2,389.10

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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.