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Finding the Fourth Proportional to 4,700, 6,485.28 and 2,604.08

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Solution

The fourth proportional to 4,700, 6,485.28 and 2,604.08 is: 3,593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700 : 6,485.28 = 2,604.08 : x
  2. Step 2: Convert to fraction form
    4,700/6,485.28 = 2,604.08/x
  3. Step 3: Cross multiply
    4,700x = 6,485.28 × 2,604.08
  4. Step 4: Simplify right side
    4,700x = 16,888,187.94
  5. Step 5: Solve for x
    x = 16,888,187.94/4,700
  6. Step 6: Final answer
    x = 3,593.23

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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.