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Finding the Fourth Proportional to 2,068.40, 3,102.60 and 529.40

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Solution

The fourth proportional to 2,068.40, 3,102.60 and 529.40 is: 794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.40 : 3,102.60 = 529.40 : x
  2. Step 2: Convert to fraction form
    2,068.40/3,102.60 = 529.40/x
  3. Step 3: Cross multiply
    2,068.40x = 3,102.60 × 529.40
  4. Step 4: Simplify right side
    2,068.40x = 1,642,516.44
  5. Step 5: Solve for x
    x = 1,642,516.44/2,068.40
  6. Step 6: Final answer
    x = 794.10

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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.