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Finding the Fourth Proportional to 10,802.28, 14,809.88 and 10,605.48

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Solution

The fourth proportional to 10,802.28, 14,809.88 and 10,605.48 is: 14,540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.28 : 14,809.88 = 10,605.48 : x
  2. Step 2: Convert to fraction form
    10,802.28/14,809.88 = 10,605.48/x
  3. Step 3: Cross multiply
    10,802.28x = 14,809.88 × 10,605.48
  4. Step 4: Simplify right side
    10,802.28x = 157,065,886.14
  5. Step 5: Solve for x
    x = 157,065,886.14/10,802.28
  6. Step 6: Final answer
    x = 14,540.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.