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Finding the Fourth Proportional to 6,911.28, 10,300.24 and 6,900.30

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Solution

The fourth proportional to 6,911.28, 10,300.24 and 6,900.30 is: 10,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.28 : 10,300.24 = 6,900.30 : x
  2. Step 2: Convert to fraction form
    6,911.28/10,300.24 = 6,900.30/x
  3. Step 3: Cross multiply
    6,911.28x = 10,300.24 × 6,900.30
  4. Step 4: Simplify right side
    6,911.28x = 71,074,746.07
  5. Step 5: Solve for x
    x = 71,074,746.07/6,911.28
  6. Step 6: Final answer
    x = 10,283.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.