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Finding the Fourth Proportional to 3,097.30, 4,646.67 and 906.07

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Solution

The fourth proportional to 3,097.30, 4,646.67 and 906.07 is: 1,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.30 : 4,646.67 = 906.07 : x
  2. Step 2: Convert to fraction form
    3,097.30/4,646.67 = 906.07/x
  3. Step 3: Cross multiply
    3,097.30x = 4,646.67 × 906.07
  4. Step 4: Simplify right side
    3,097.30x = 4,210,208.29
  5. Step 5: Solve for x
    x = 4,210,208.29/3,097.30
  6. Step 6: Final answer
    x = 1,359.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.