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Finding the Fourth Proportional to 7,681.72, 11,507.80 and 4,711.49

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Solution

The fourth proportional to 7,681.72, 11,507.80 and 4,711.49 is: 7,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.72 : 11,507.80 = 4,711.49 : x
  2. Step 2: Convert to fraction form
    7,681.72/11,507.80 = 4,711.49/x
  3. Step 3: Cross multiply
    7,681.72x = 11,507.80 × 4,711.49
  4. Step 4: Simplify right side
    7,681.72x = 54,218,884.62
  5. Step 5: Solve for x
    x = 54,218,884.62/7,681.72
  6. Step 6: Final answer
    x = 7,058.17

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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.