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Finding the Fourth Proportional to 7,754.66, 10,701.65 and 4,218.10

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Solution

The fourth proportional to 7,754.66, 10,701.65 and 4,218.10 is: 5,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.66 : 10,701.65 = 4,218.10 : x
  2. Step 2: Convert to fraction form
    7,754.66/10,701.65 = 4,218.10/x
  3. Step 3: Cross multiply
    7,754.66x = 10,701.65 × 4,218.10
  4. Step 4: Simplify right side
    7,754.66x = 45,140,629.87
  5. Step 5: Solve for x
    x = 45,140,629.87/7,754.66
  6. Step 6: Final answer
    x = 5,821.10

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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.