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Finding the Fourth Proportional to 7,164, 9,887.23 and 4,020.19

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Solution

The fourth proportional to 7,164, 9,887.23 and 4,020.19 is: 5,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164 : 9,887.23 = 4,020.19 : x
  2. Step 2: Convert to fraction form
    7,164/9,887.23 = 4,020.19/x
  3. Step 3: Cross multiply
    7,164x = 9,887.23 × 4,020.19
  4. Step 4: Simplify right side
    7,164x = 39,748,523.48
  5. Step 5: Solve for x
    x = 39,748,523.48/7,164
  6. Step 6: Final answer
    x = 5,548.37

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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.