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Finding the Fourth Proportional to 9,405.69, 12,980 and 5,157.16

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Solution

The fourth proportional to 9,405.69, 12,980 and 5,157.16 is: 7,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.69 : 12,980 = 5,157.16 : x
  2. Step 2: Convert to fraction form
    9,405.69/12,980 = 5,157.16/x
  3. Step 3: Cross multiply
    9,405.69x = 12,980 × 5,157.16
  4. Step 4: Simplify right side
    9,405.69x = 66,939,936.80
  5. Step 5: Solve for x
    x = 66,939,936.80/9,405.69
  6. Step 6: Final answer
    x = 7,116.96

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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.