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Finding the Fourth Proportional to 6,641.82, 9,164.10 and 4,870.32

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Solution

The fourth proportional to 6,641.82, 9,164.10 and 4,870.32 is: 6,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.82 : 9,164.10 = 4,870.32 : x
  2. Step 2: Convert to fraction form
    6,641.82/9,164.10 = 4,870.32/x
  3. Step 3: Cross multiply
    6,641.82x = 9,164.10 × 4,870.32
  4. Step 4: Simplify right side
    6,641.82x = 44,632,099.51
  5. Step 5: Solve for x
    x = 44,632,099.51/6,641.82
  6. Step 6: Final answer
    x = 6,719.86

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Similar ratio
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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.