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Finding the Fourth Proportional to 4,686.86, 6,470.88 and 3,009

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Solution

The fourth proportional to 4,686.86, 6,470.88 and 3,009 is: 4,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.86 : 6,470.88 = 3,009 : x
  2. Step 2: Convert to fraction form
    4,686.86/6,470.88 = 3,009/x
  3. Step 3: Cross multiply
    4,686.86x = 6,470.88 × 3,009
  4. Step 4: Simplify right side
    4,686.86x = 19,470,877.92
  5. Step 5: Solve for x
    x = 19,470,877.92/4,686.86
  6. Step 6: Final answer
    x = 4,154.35

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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.