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Finding the Fourth Proportional to 10,351.71, 14,283.15 and 7,159.86

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Solution

The fourth proportional to 10,351.71, 14,283.15 and 7,159.86 is: 9,879.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.71 : 14,283.15 = 7,159.86 : x
  2. Step 2: Convert to fraction form
    10,351.71/14,283.15 = 7,159.86/x
  3. Step 3: Cross multiply
    10,351.71x = 14,283.15 × 7,159.86
  4. Step 4: Simplify right side
    10,351.71x = 102,265,354.36
  5. Step 5: Solve for x
    x = 102,265,354.36/10,351.71
  6. Step 6: Final answer
    x = 9,879.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.