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Finding the Fourth Proportional to 9,343, 12,893.38 and 5,151.16

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Solution

The fourth proportional to 9,343, 12,893.38 and 5,151.16 is: 7,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343 : 12,893.38 = 5,151.16 : x
  2. Step 2: Convert to fraction form
    9,343/12,893.38 = 5,151.16/x
  3. Step 3: Cross multiply
    9,343x = 12,893.38 × 5,151.16
  4. Step 4: Simplify right side
    9,343x = 66,415,863.32
  5. Step 5: Solve for x
    x = 66,415,863.32/9,343
  6. Step 6: Final answer
    x = 7,108.62

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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.