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Finding the Fourth Proportional to 7,164, 9,886.56 and 4,020.48

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Solution

The fourth proportional to 7,164, 9,886.56 and 4,020.48 is: 5,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164 : 9,886.56 = 4,020.48 : x
  2. Step 2: Convert to fraction form
    7,164/9,886.56 = 4,020.48/x
  3. Step 3: Cross multiply
    7,164x = 9,886.56 × 4,020.48
  4. Step 4: Simplify right side
    7,164x = 39,748,716.75
  5. Step 5: Solve for x
    x = 39,748,716.75/7,164
  6. Step 6: Final answer
    x = 5,548.40

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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.