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Finding the Fourth Proportional to 5,006, 7,509 and 1,358

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Solution

The fourth proportional to 5,006, 7,509 and 1,358 is: 2,037

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006 : 7,509 = 1,358 : x
  2. Step 2: Convert to fraction form
    5,006/7,509 = 1,358/x
  3. Step 3: Cross multiply
    5,006x = 7,509 × 1,358
  4. Step 4: Simplify right side
    5,006x = 10,197,222
  5. Step 5: Solve for x
    x = 10,197,222/5,006
  6. Step 6: Final answer
    x = 2,037

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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.