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Finding the Fourth Proportional to 13,084.86, 19,641.86 and 6,509.28

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Solution

The fourth proportional to 13,084.86, 19,641.86 and 6,509.28 is: 9,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.86 : 19,641.86 = 6,509.28 : x
  2. Step 2: Convert to fraction form
    13,084.86/19,641.86 = 6,509.28/x
  3. Step 3: Cross multiply
    13,084.86x = 19,641.86 × 6,509.28
  4. Step 4: Simplify right side
    13,084.86x = 127,854,366.46
  5. Step 5: Solve for x
    x = 127,854,366.46/13,084.86
  6. Step 6: Final answer
    x = 9,771.17

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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.