Home / 5,209.56-7,812.72-1,746

Finding the Fourth Proportional to 5,209.56, 7,812.72 and 1,746

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Solution

The fourth proportional to 5,209.56, 7,812.72 and 1,746 is: 2,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.56 : 7,812.72 = 1,746 : x
  2. Step 2: Convert to fraction form
    5,209.56/7,812.72 = 1,746/x
  3. Step 3: Cross multiply
    5,209.56x = 7,812.72 × 1,746
  4. Step 4: Simplify right side
    5,209.56x = 13,641,009.12
  5. Step 5: Solve for x
    x = 13,641,009.12/5,209.56
  6. Step 6: Final answer
    x = 2,618.46

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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.