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Finding the Fourth Proportional to 6,787, 9,366.06 and 6,398.20

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Solution

The fourth proportional to 6,787, 9,366.06 and 6,398.20 is: 8,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787 : 9,366.06 = 6,398.20 : x
  2. Step 2: Convert to fraction form
    6,787/9,366.06 = 6,398.20/x
  3. Step 3: Cross multiply
    6,787x = 9,366.06 × 6,398.20
  4. Step 4: Simplify right side
    6,787x = 59,925,925.09
  5. Step 5: Solve for x
    x = 59,925,925.09/6,787
  6. Step 6: Final answer
    x = 8,829.52

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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.