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Finding the Fourth Proportional to 9,865, 14,802.09 and 4,317.61

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Solution

The fourth proportional to 9,865, 14,802.09 and 4,317.61 is: 6,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865 : 14,802.09 = 4,317.61 : x
  2. Step 2: Convert to fraction form
    9,865/14,802.09 = 4,317.61/x
  3. Step 3: Cross multiply
    9,865x = 14,802.09 × 4,317.61
  4. Step 4: Simplify right side
    9,865x = 63,909,651.80
  5. Step 5: Solve for x
    x = 63,909,651.80/9,865
  6. Step 6: Final answer
    x = 6,478.42

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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.