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Finding the Fourth Proportional to 4,460, 6,154.80 and 2,470.70

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Solution

The fourth proportional to 4,460, 6,154.80 and 2,470.70 is: 3,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460 : 6,154.80 = 2,470.70 : x
  2. Step 2: Convert to fraction form
    4,460/6,154.80 = 2,470.70/x
  3. Step 3: Cross multiply
    4,460x = 6,154.80 × 2,470.70
  4. Step 4: Simplify right side
    4,460x = 15,206,664.36
  5. Step 5: Solve for x
    x = 15,206,664.36/4,460
  6. Step 6: Final answer
    x = 3,409.57

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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.