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Finding the Fourth Proportional to 2,905.32, 4,357.86 and 714

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Solution

The fourth proportional to 2,905.32, 4,357.86 and 714 is: 1,070.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.32 : 4,357.86 = 714 : x
  2. Step 2: Convert to fraction form
    2,905.32/4,357.86 = 714/x
  3. Step 3: Cross multiply
    2,905.32x = 4,357.86 × 714
  4. Step 4: Simplify right side
    2,905.32x = 3,111,512.04
  5. Step 5: Solve for x
    x = 3,111,512.04/2,905.32
  6. Step 6: Final answer
    x = 1,070.97

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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.