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Finding the Fourth Proportional to 6,326.40, 9,477.18 and 5,157.84

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Solution

The fourth proportional to 6,326.40, 9,477.18 and 5,157.84 is: 7,726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.40 : 9,477.18 = 5,157.84 : x
  2. Step 2: Convert to fraction form
    6,326.40/9,477.18 = 5,157.84/x
  3. Step 3: Cross multiply
    6,326.40x = 9,477.18 × 5,157.84
  4. Step 4: Simplify right side
    6,326.40x = 48,881,778.09
  5. Step 5: Solve for x
    x = 48,881,778.09/6,326.40
  6. Step 6: Final answer
    x = 7,726.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.