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Finding the Fourth Proportional to 7,019, 10,530.12 and 2,402

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Solution

The fourth proportional to 7,019, 10,530.12 and 2,402 is: 3,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019 : 10,530.12 = 2,402 : x
  2. Step 2: Convert to fraction form
    7,019/10,530.12 = 2,402/x
  3. Step 3: Cross multiply
    7,019x = 10,530.12 × 2,402
  4. Step 4: Simplify right side
    7,019x = 25,293,348.24
  5. Step 5: Solve for x
    x = 25,293,348.24/7,019
  6. Step 6: Final answer
    x = 3,603.55

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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.