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Finding the Fourth Proportional to 7,004, 10,507.80 and 2,387

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Solution

The fourth proportional to 7,004, 10,507.80 and 2,387 is: 3,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004 : 10,507.80 = 2,387 : x
  2. Step 2: Convert to fraction form
    7,004/10,507.80 = 2,387/x
  3. Step 3: Cross multiply
    7,004x = 10,507.80 × 2,387
  4. Step 4: Simplify right side
    7,004x = 25,082,118.60
  5. Step 5: Solve for x
    x = 25,082,118.60/7,004
  6. Step 6: Final answer
    x = 3,581.11

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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.