Home / 5,210.38-7,814.85-1,314.55

Finding the Fourth Proportional to 5,210.38, 7,814.85 and 1,314.55

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Solution

The fourth proportional to 5,210.38, 7,814.85 and 1,314.55 is: 1,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.38 : 7,814.85 = 1,314.55 : x
  2. Step 2: Convert to fraction form
    5,210.38/7,814.85 = 1,314.55/x
  3. Step 3: Cross multiply
    5,210.38x = 7,814.85 × 1,314.55
  4. Step 4: Simplify right side
    5,210.38x = 10,273,011.07
  5. Step 5: Solve for x
    x = 10,273,011.07/5,210.38
  6. Step 6: Final answer
    x = 1,971.64

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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.