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Finding the Fourth Proportional to 7,857.48, 10,761.81 and 7,403.07

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Solution

The fourth proportional to 7,857.48, 10,761.81 and 7,403.07 is: 10,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.48 : 10,761.81 = 7,403.07 : x
  2. Step 2: Convert to fraction form
    7,857.48/10,761.81 = 7,403.07/x
  3. Step 3: Cross multiply
    7,857.48x = 10,761.81 × 7,403.07
  4. Step 4: Simplify right side
    7,857.48x = 79,670,432.76
  5. Step 5: Solve for x
    x = 79,670,432.76/7,857.48
  6. Step 6: Final answer
    x = 10,139.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.