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Finding the Fourth Proportional to 7,757.61, 10,699.63 and 5,371.57

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Solution

The fourth proportional to 7,757.61, 10,699.63 and 5,371.57 is: 7,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.61 : 10,699.63 = 5,371.57 : x
  2. Step 2: Convert to fraction form
    7,757.61/10,699.63 = 5,371.57/x
  3. Step 3: Cross multiply
    7,757.61x = 10,699.63 × 5,371.57
  4. Step 4: Simplify right side
    7,757.61x = 57,473,811.52
  5. Step 5: Solve for x
    x = 57,473,811.52/7,757.61
  6. Step 6: Final answer
    x = 7,408.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.