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Finding the Fourth Proportional to 5,191.36, 7,787 and 1,295.74

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Solution

The fourth proportional to 5,191.36, 7,787 and 1,295.74 is: 1,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.36 : 7,787 = 1,295.74 : x
  2. Step 2: Convert to fraction form
    5,191.36/7,787 = 1,295.74/x
  3. Step 3: Cross multiply
    5,191.36x = 7,787 × 1,295.74
  4. Step 4: Simplify right side
    5,191.36x = 10,089,927.38
  5. Step 5: Solve for x
    x = 10,089,927.38/5,191.36
  6. Step 6: Final answer
    x = 1,943.60

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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.