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Finding the Fourth Proportional to 9,857, 13,602.66 and 5,666.06

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Solution

The fourth proportional to 9,857, 13,602.66 and 5,666.06 is: 7,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857 : 13,602.66 = 5,666.06 : x
  2. Step 2: Convert to fraction form
    9,857/13,602.66 = 5,666.06/x
  3. Step 3: Cross multiply
    9,857x = 13,602.66 × 5,666.06
  4. Step 4: Simplify right side
    9,857x = 77,073,487.72
  5. Step 5: Solve for x
    x = 77,073,487.72/9,857
  6. Step 6: Final answer
    x = 7,819.16

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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.