Home / 1,423.24-1,964-1,029.58

Finding the Fourth Proportional to 1,423.24, 1,964 and 1,029.58

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Solution

The fourth proportional to 1,423.24, 1,964 and 1,029.58 is: 1,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.24 : 1,964 = 1,029.58 : x
  2. Step 2: Convert to fraction form
    1,423.24/1,964 = 1,029.58/x
  3. Step 3: Cross multiply
    1,423.24x = 1,964 × 1,029.58
  4. Step 4: Simplify right side
    1,423.24x = 2,022,095.12
  5. Step 5: Solve for x
    x = 2,022,095.12/1,423.24
  6. Step 6: Final answer
    x = 1,420.77

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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.