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Finding the Fourth Proportional to 4,786, 6,604.76 and 3,130

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Solution

The fourth proportional to 4,786, 6,604.76 and 3,130 is: 4,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786 : 6,604.76 = 3,130 : x
  2. Step 2: Convert to fraction form
    4,786/6,604.76 = 3,130/x
  3. Step 3: Cross multiply
    4,786x = 6,604.76 × 3,130
  4. Step 4: Simplify right side
    4,786x = 20,672,898.80
  5. Step 5: Solve for x
    x = 20,672,898.80/4,786
  6. Step 6: Final answer
    x = 4,319.45

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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.