Home / 1,423.83-1,964.36-864.11

Finding the Fourth Proportional to 1,423.83, 1,964.36 and 864.11

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Solution

The fourth proportional to 1,423.83, 1,964.36 and 864.11 is: 1,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.83 : 1,964.36 = 864.11 : x
  2. Step 2: Convert to fraction form
    1,423.83/1,964.36 = 864.11/x
  3. Step 3: Cross multiply
    1,423.83x = 1,964.36 × 864.11
  4. Step 4: Simplify right side
    1,423.83x = 1,697,408.98
  5. Step 5: Solve for x
    x = 1,697,408.98/1,423.83
  6. Step 6: Final answer
    x = 1,192.14

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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.