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Finding the Fourth Proportional to 5,209.66, 7,814.54 and 1,314.07

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Solution

The fourth proportional to 5,209.66, 7,814.54 and 1,314.07 is: 1,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.66 : 7,814.54 = 1,314.07 : x
  2. Step 2: Convert to fraction form
    5,209.66/7,814.54 = 1,314.07/x
  3. Step 3: Cross multiply
    5,209.66x = 7,814.54 × 1,314.07
  4. Step 4: Simplify right side
    5,209.66x = 10,268,852.58
  5. Step 5: Solve for x
    x = 10,268,852.58/5,209.66
  6. Step 6: Final answer
    x = 1,971.12

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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.