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Finding the Fourth Proportional to 9,370.02, 12,930.12 and 5,178

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Solution

The fourth proportional to 9,370.02, 12,930.12 and 5,178 is: 7,145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.02 : 12,930.12 = 5,178 : x
  2. Step 2: Convert to fraction form
    9,370.02/12,930.12 = 5,178/x
  3. Step 3: Cross multiply
    9,370.02x = 12,930.12 × 5,178
  4. Step 4: Simplify right side
    9,370.02x = 66,952,161.36
  5. Step 5: Solve for x
    x = 66,952,161.36/9,370.02
  6. Step 6: Final answer
    x = 7,145.36

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Double scale
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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.