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Finding the Fourth Proportional to 4,485.60, 6,678.06 and 4,464

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Solution

The fourth proportional to 4,485.60, 6,678.06 and 4,464 is: 6,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485.60 : 6,678.06 = 4,464 : x
  2. Step 2: Convert to fraction form
    4,485.60/6,678.06 = 4,464/x
  3. Step 3: Cross multiply
    4,485.60x = 6,678.06 × 4,464
  4. Step 4: Simplify right side
    4,485.60x = 29,810,859.84
  5. Step 5: Solve for x
    x = 29,810,859.84/4,485.60
  6. Step 6: Final answer
    x = 6,645.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.