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Finding the Fourth Proportional to 7,004, 10,506 and 2,387

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Solution

The fourth proportional to 7,004, 10,506 and 2,387 is: 3,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004 : 10,506 = 2,387 : x
  2. Step 2: Convert to fraction form
    7,004/10,506 = 2,387/x
  3. Step 3: Cross multiply
    7,004x = 10,506 × 2,387
  4. Step 4: Simplify right side
    7,004x = 25,077,822
  5. Step 5: Solve for x
    x = 25,077,822/7,004
  6. Step 6: Final answer
    x = 3,580.50

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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.