Home / 2,070.04-3,105.48-771.40

Finding the Fourth Proportional to 2,070.04, 3,105.48 and 771.40

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Solution

The fourth proportional to 2,070.04, 3,105.48 and 771.40 is: 1,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.04 : 3,105.48 = 771.40 : x
  2. Step 2: Convert to fraction form
    2,070.04/3,105.48 = 771.40/x
  3. Step 3: Cross multiply
    2,070.04x = 3,105.48 × 771.40
  4. Step 4: Simplify right side
    2,070.04x = 2,395,567.27
  5. Step 5: Solve for x
    x = 2,395,567.27/2,070.04
  6. Step 6: Final answer
    x = 1,157.26

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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.