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Finding the Fourth Proportional to 10,470.70, 15,706.50 and 5,208.22

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Solution

The fourth proportional to 10,470.70, 15,706.50 and 5,208.22 is: 7,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.70 : 15,706.50 = 5,208.22 : x
  2. Step 2: Convert to fraction form
    10,470.70/15,706.50 = 5,208.22/x
  3. Step 3: Cross multiply
    10,470.70x = 15,706.50 × 5,208.22
  4. Step 4: Simplify right side
    10,470.70x = 81,802,907.43
  5. Step 5: Solve for x
    x = 81,802,907.43/10,470.70
  6. Step 6: Final answer
    x = 7,812.55

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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.