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Finding the Fourth Proportional to 2,856.65, 4,284.53 and 1,007.49

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Solution

The fourth proportional to 2,856.65, 4,284.53 and 1,007.49 is: 1,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.65 : 4,284.53 = 1,007.49 : x
  2. Step 2: Convert to fraction form
    2,856.65/4,284.53 = 1,007.49/x
  3. Step 3: Cross multiply
    2,856.65x = 4,284.53 × 1,007.49
  4. Step 4: Simplify right side
    2,856.65x = 4,316,621.13
  5. Step 5: Solve for x
    x = 4,316,621.13/2,856.65
  6. Step 6: Final answer
    x = 1,511.08

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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.