Home / 5,206.31-7,808.61-1,695.83

Finding the Fourth Proportional to 5,206.31, 7,808.61 and 1,695.83

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Solution

The fourth proportional to 5,206.31, 7,808.61 and 1,695.83 is: 2,543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.31 : 7,808.61 = 1,695.83 : x
  2. Step 2: Convert to fraction form
    5,206.31/7,808.61 = 1,695.83/x
  3. Step 3: Cross multiply
    5,206.31x = 7,808.61 × 1,695.83
  4. Step 4: Simplify right side
    5,206.31x = 13,242,075.10
  5. Step 5: Solve for x
    x = 13,242,075.10/5,206.31
  6. Step 6: Final answer
    x = 2,543.47

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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.