Home / 5,206.02-7,810.32-2,085.20

Finding the Fourth Proportional to 5,206.02, 7,810.32 and 2,085.20

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Solution

The fourth proportional to 5,206.02, 7,810.32 and 2,085.20 is: 3,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.02 : 7,810.32 = 2,085.20 : x
  2. Step 2: Convert to fraction form
    5,206.02/7,810.32 = 2,085.20/x
  3. Step 3: Cross multiply
    5,206.02x = 7,810.32 × 2,085.20
  4. Step 4: Simplify right side
    5,206.02x = 16,286,040.21
  5. Step 5: Solve for x
    x = 16,286,040.21/5,206.02
  6. Step 6: Final answer
    x = 3,128.31

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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.