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Finding the Fourth Proportional to 13,144.10, 19,706.43 and 6,210.50

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Solution

The fourth proportional to 13,144.10, 19,706.43 and 6,210.50 is: 9,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.10 : 19,706.43 = 6,210.50 : x
  2. Step 2: Convert to fraction form
    13,144.10/19,706.43 = 6,210.50/x
  3. Step 3: Cross multiply
    13,144.10x = 19,706.43 × 6,210.50
  4. Step 4: Simplify right side
    13,144.10x = 122,386,783.52
  5. Step 5: Solve for x
    x = 122,386,783.52/13,144.10
  6. Step 6: Final answer
    x = 9,311.16

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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.