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Finding the Fourth Proportional to 6,470.71, 9,705.85 and 2,088

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Solution

The fourth proportional to 6,470.71, 9,705.85 and 2,088 is: 3,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.71 : 9,705.85 = 2,088 : x
  2. Step 2: Convert to fraction form
    6,470.71/9,705.85 = 2,088/x
  3. Step 3: Cross multiply
    6,470.71x = 9,705.85 × 2,088
  4. Step 4: Simplify right side
    6,470.71x = 20,265,809.58
  5. Step 5: Solve for x
    x = 20,265,809.58/6,470.71
  6. Step 6: Final answer
    x = 3,131.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.