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Finding the Fourth Proportional to 4,710, 6,501.42 and 2,847

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Solution

The fourth proportional to 4,710, 6,501.42 and 2,847 is: 3,929.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710 : 6,501.42 = 2,847 : x
  2. Step 2: Convert to fraction form
    4,710/6,501.42 = 2,847/x
  3. Step 3: Cross multiply
    4,710x = 6,501.42 × 2,847
  4. Step 4: Simplify right side
    4,710x = 18,509,542.74
  5. Step 5: Solve for x
    x = 18,509,542.74/4,710
  6. Step 6: Final answer
    x = 3,929.84

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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.