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Finding the Fourth Proportional to 2,375, 3,564 and 1,007

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Solution

The fourth proportional to 2,375, 3,564 and 1,007 is: 1,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375 : 3,564 = 1,007 : x
  2. Step 2: Convert to fraction form
    2,375/3,564 = 1,007/x
  3. Step 3: Cross multiply
    2,375x = 3,564 × 1,007
  4. Step 4: Simplify right side
    2,375x = 3,588,948
  5. Step 5: Solve for x
    x = 3,588,948/2,375
  6. Step 6: Final answer
    x = 1,511.14

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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.