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Finding the Fourth Proportional to 6,896.32, 10,275.99 and 6,561.58

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Solution

The fourth proportional to 6,896.32, 10,275.99 and 6,561.58 is: 9,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.32 : 10,275.99 = 6,561.58 : x
  2. Step 2: Convert to fraction form
    6,896.32/10,275.99 = 6,561.58/x
  3. Step 3: Cross multiply
    6,896.32x = 10,275.99 × 6,561.58
  4. Step 4: Simplify right side
    6,896.32x = 67,426,730.46
  5. Step 5: Solve for x
    x = 67,426,730.46/6,896.32
  6. Step 6: Final answer
    x = 9,777.20

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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.