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Finding the Fourth Proportional to 7,841, 10,810.98 and 6,157.16

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Solution

The fourth proportional to 7,841, 10,810.98 and 6,157.16 is: 8,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841 : 10,810.98 = 6,157.16 : x
  2. Step 2: Convert to fraction form
    7,841/10,810.98 = 6,157.16/x
  3. Step 3: Cross multiply
    7,841x = 10,810.98 × 6,157.16
  4. Step 4: Simplify right side
    7,841x = 66,564,933.62
  5. Step 5: Solve for x
    x = 66,564,933.62/7,841
  6. Step 6: Final answer
    x = 8,489.34

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Double scale
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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.