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Finding the Fourth Proportional to 7,040.57, 9,711.77 and 4,650.57

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Solution

The fourth proportional to 7,040.57, 9,711.77 and 4,650.57 is: 6,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.57 : 9,711.77 = 4,650.57 : x
  2. Step 2: Convert to fraction form
    7,040.57/9,711.77 = 4,650.57/x
  3. Step 3: Cross multiply
    7,040.57x = 9,711.77 × 4,650.57
  4. Step 4: Simplify right side
    7,040.57x = 45,165,242.96
  5. Step 5: Solve for x
    x = 45,165,242.96/7,040.57
  6. Step 6: Final answer
    x = 6,415.00

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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.