Home / 1,581.40-2,369.28-964.80

Finding the Fourth Proportional to 1,581.40, 2,369.28 and 964.80

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Solution

The fourth proportional to 1,581.40, 2,369.28 and 964.80 is: 1,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.40 : 2,369.28 = 964.80 : x
  2. Step 2: Convert to fraction form
    1,581.40/2,369.28 = 964.80/x
  3. Step 3: Cross multiply
    1,581.40x = 2,369.28 × 964.80
  4. Step 4: Simplify right side
    1,581.40x = 2,285,881.34
  5. Step 5: Solve for x
    x = 2,285,881.34/1,581.40
  6. Step 6: Final answer
    x = 1,445.48

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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.