Home / 1,456.90-2,181.06-962.40

Finding the Fourth Proportional to 1,456.90, 2,181.06 and 962.40

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Solution

The fourth proportional to 1,456.90, 2,181.06 and 962.40 is: 1,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.90 : 2,181.06 = 962.40 : x
  2. Step 2: Convert to fraction form
    1,456.90/2,181.06 = 962.40/x
  3. Step 3: Cross multiply
    1,456.90x = 2,181.06 × 962.40
  4. Step 4: Simplify right side
    1,456.90x = 2,099,052.14
  5. Step 5: Solve for x
    x = 2,099,052.14/1,456.90
  6. Step 6: Final answer
    x = 1,440.77

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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.