Home / 1,762.04-2,431.52-976.04

Finding the Fourth Proportional to 1,762.04, 2,431.52 and 976.04

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Solution

The fourth proportional to 1,762.04, 2,431.52 and 976.04 is: 1,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.04 : 2,431.52 = 976.04 : x
  2. Step 2: Convert to fraction form
    1,762.04/2,431.52 = 976.04/x
  3. Step 3: Cross multiply
    1,762.04x = 2,431.52 × 976.04
  4. Step 4: Simplify right side
    1,762.04x = 2,373,243.74
  5. Step 5: Solve for x
    x = 2,373,243.74/1,762.04
  6. Step 6: Final answer
    x = 1,346.88

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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.