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Finding the Fourth Proportional to 7,761.55, 10,710.62 and 4,224.76

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Solution

The fourth proportional to 7,761.55, 10,710.62 and 4,224.76 is: 5,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.55 : 10,710.62 = 4,224.76 : x
  2. Step 2: Convert to fraction form
    7,761.55/10,710.62 = 4,224.76/x
  3. Step 3: Cross multiply
    7,761.55x = 10,710.62 × 4,224.76
  4. Step 4: Simplify right side
    7,761.55x = 45,249,782.74
  5. Step 5: Solve for x
    x = 45,249,782.74/7,761.55
  6. Step 6: Final answer
    x = 5,829.99

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Half scale
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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.