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Finding the Fourth Proportional to 4,642.60, 6,970.30 and 3,669.80

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Solution

The fourth proportional to 4,642.60, 6,970.30 and 3,669.80 is: 5,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.60 : 6,970.30 = 3,669.80 : x
  2. Step 2: Convert to fraction form
    4,642.60/6,970.30 = 3,669.80/x
  3. Step 3: Cross multiply
    4,642.60x = 6,970.30 × 3,669.80
  4. Step 4: Simplify right side
    4,642.60x = 25,579,606.94
  5. Step 5: Solve for x
    x = 25,579,606.94/4,642.60
  6. Step 6: Final answer
    x = 5,509.76

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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.