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Finding the Fourth Proportional to 5,164, 7,145.09 and 4,502.23

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Solution

The fourth proportional to 5,164, 7,145.09 and 4,502.23 is: 6,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164 : 7,145.09 = 4,502.23 : x
  2. Step 2: Convert to fraction form
    5,164/7,145.09 = 4,502.23/x
  3. Step 3: Cross multiply
    5,164x = 7,145.09 × 4,502.23
  4. Step 4: Simplify right side
    5,164x = 32,168,838.55
  5. Step 5: Solve for x
    x = 32,168,838.55/5,164
  6. Step 6: Final answer
    x = 6,229.44

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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.