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Finding the Fourth Proportional to 7,812.81, 11,718.36 and 1,969.47

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Solution

The fourth proportional to 7,812.81, 11,718.36 and 1,969.47 is: 2,953.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.81 : 11,718.36 = 1,969.47 : x
  2. Step 2: Convert to fraction form
    7,812.81/11,718.36 = 1,969.47/x
  3. Step 3: Cross multiply
    7,812.81x = 11,718.36 × 1,969.47
  4. Step 4: Simplify right side
    7,812.81x = 23,078,958.47
  5. Step 5: Solve for x
    x = 23,078,958.47/7,812.81
  6. Step 6: Final answer
    x = 2,953.99

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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.