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Finding the Fourth Proportional to 7,812.52, 11,713.56 and 4,304.21

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Solution

The fourth proportional to 7,812.52, 11,713.56 and 4,304.21 is: 6,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.52 : 11,713.56 = 4,304.21 : x
  2. Step 2: Convert to fraction form
    7,812.52/11,713.56 = 4,304.21/x
  3. Step 3: Cross multiply
    7,812.52x = 11,713.56 × 4,304.21
  4. Step 4: Simplify right side
    7,812.52x = 50,417,547.38
  5. Step 5: Solve for x
    x = 50,417,547.38/7,812.52
  6. Step 6: Final answer
    x = 6,453.43

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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.