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Finding the Fourth Proportional to 2,070.72, 3,106.08 and 531.72

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Solution

The fourth proportional to 2,070.72, 3,106.08 and 531.72 is: 797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.72 : 3,106.08 = 531.72 : x
  2. Step 2: Convert to fraction form
    2,070.72/3,106.08 = 531.72/x
  3. Step 3: Cross multiply
    2,070.72x = 3,106.08 × 531.72
  4. Step 4: Simplify right side
    2,070.72x = 1,651,564.86
  5. Step 5: Solve for x
    x = 1,651,564.86/2,070.72
  6. Step 6: Final answer
    x = 797.58

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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.