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Finding the Fourth Proportional to 4,765, 6,575.70 and 2,902

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Solution

The fourth proportional to 4,765, 6,575.70 and 2,902 is: 4,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765 : 6,575.70 = 2,902 : x
  2. Step 2: Convert to fraction form
    4,765/6,575.70 = 2,902/x
  3. Step 3: Cross multiply
    4,765x = 6,575.70 × 2,902
  4. Step 4: Simplify right side
    4,765x = 19,082,681.40
  5. Step 5: Solve for x
    x = 19,082,681.40/4,765
  6. Step 6: Final answer
    x = 4,004.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.