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Finding the Fourth Proportional to 5,209.09, 7,810.16 and 2,870.22

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Solution

The fourth proportional to 5,209.09, 7,810.16 and 2,870.22 is: 4,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.09 : 7,810.16 = 2,870.22 : x
  2. Step 2: Convert to fraction form
    5,209.09/7,810.16 = 2,870.22/x
  3. Step 3: Cross multiply
    5,209.09x = 7,810.16 × 2,870.22
  4. Step 4: Simplify right side
    5,209.09x = 22,416,833.80
  5. Step 5: Solve for x
    x = 22,416,833.80/5,209.09
  6. Step 6: Final answer
    x = 4,303.41

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1.5x scale

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.