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Finding the Fourth Proportional to 5,666.16, 7,819.47 and 3,428.45

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Solution

The fourth proportional to 5,666.16, 7,819.47 and 3,428.45 is: 4,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.16 : 7,819.47 = 3,428.45 : x
  2. Step 2: Convert to fraction form
    5,666.16/7,819.47 = 3,428.45/x
  3. Step 3: Cross multiply
    5,666.16x = 7,819.47 × 3,428.45
  4. Step 4: Simplify right side
    5,666.16x = 26,808,622.82
  5. Step 5: Solve for x
    x = 26,808,622.82/5,666.16
  6. Step 6: Final answer
    x = 4,731.36

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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.