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Finding the Fourth Proportional to 3,114.76, 4,297.02 and 1,788.16

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Solution

The fourth proportional to 3,114.76, 4,297.02 and 1,788.16 is: 2,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.76 : 4,297.02 = 1,788.16 : x
  2. Step 2: Convert to fraction form
    3,114.76/4,297.02 = 1,788.16/x
  3. Step 3: Cross multiply
    3,114.76x = 4,297.02 × 1,788.16
  4. Step 4: Simplify right side
    3,114.76x = 7,683,759.28
  5. Step 5: Solve for x
    x = 7,683,759.28/3,114.76
  6. Step 6: Final answer
    x = 2,466.89

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1.5x scale

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.