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Finding the Fourth Proportional to 7,760.70, 10,710 and 4,224.14

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Solution

The fourth proportional to 7,760.70, 10,710 and 4,224.14 is: 5,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.70 : 10,710 = 4,224.14 : x
  2. Step 2: Convert to fraction form
    7,760.70/10,710 = 4,224.14/x
  3. Step 3: Cross multiply
    7,760.70x = 10,710 × 4,224.14
  4. Step 4: Simplify right side
    7,760.70x = 45,240,539.40
  5. Step 5: Solve for x
    x = 45,240,539.40/7,760.70
  6. Step 6: Final answer
    x = 5,829.44

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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.