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Finding the Fourth Proportional to 11,210.50, 15,470.49 and 6,242.50

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Solution

The fourth proportional to 11,210.50, 15,470.49 and 6,242.50 is: 8,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.50 : 15,470.49 = 6,242.50 : x
  2. Step 2: Convert to fraction form
    11,210.50/15,470.49 = 6,242.50/x
  3. Step 3: Cross multiply
    11,210.50x = 15,470.49 × 6,242.50
  4. Step 4: Simplify right side
    11,210.50x = 96,574,533.83
  5. Step 5: Solve for x
    x = 96,574,533.83/11,210.50
  6. Step 6: Final answer
    x = 8,614.65

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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.