Home / 5,209.76-7,814.16-1,314.20

Finding the Fourth Proportional to 5,209.76, 7,814.16 and 1,314.20

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Solution

The fourth proportional to 5,209.76, 7,814.16 and 1,314.20 is: 1,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.76 : 7,814.16 = 1,314.20 : x
  2. Step 2: Convert to fraction form
    5,209.76/7,814.16 = 1,314.20/x
  3. Step 3: Cross multiply
    5,209.76x = 7,814.16 × 1,314.20
  4. Step 4: Simplify right side
    5,209.76x = 10,269,369.07
  5. Step 5: Solve for x
    x = 10,269,369.07/5,209.76
  6. Step 6: Final answer
    x = 1,971.18

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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.