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Finding the Fourth Proportional to 2,896.61, 4,345.52 and 948.65

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Solution

The fourth proportional to 2,896.61, 4,345.52 and 948.65 is: 1,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.61 : 4,345.52 = 948.65 : x
  2. Step 2: Convert to fraction form
    2,896.61/4,345.52 = 948.65/x
  3. Step 3: Cross multiply
    2,896.61x = 4,345.52 × 948.65
  4. Step 4: Simplify right side
    2,896.61x = 4,122,351.08
  5. Step 5: Solve for x
    x = 4,122,351.08/2,896.61
  6. Step 6: Final answer
    x = 1,423.17

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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.