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Finding the Fourth Proportional to 4,689.60, 6,474.24 and 3,120

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Solution

The fourth proportional to 4,689.60, 6,474.24 and 3,120 is: 4,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.60 : 6,474.24 = 3,120 : x
  2. Step 2: Convert to fraction form
    4,689.60/6,474.24 = 3,120/x
  3. Step 3: Cross multiply
    4,689.60x = 6,474.24 × 3,120
  4. Step 4: Simplify right side
    4,689.60x = 20,199,628.80
  5. Step 5: Solve for x
    x = 20,199,628.80/4,689.60
  6. Step 6: Final answer
    x = 4,307.32

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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.