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Finding the Fourth Proportional to 14,066.30, 19,378.52 and 9,809.60

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Solution

The fourth proportional to 14,066.30, 19,378.52 and 9,809.60 is: 13,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066.30 : 19,378.52 = 9,809.60 : x
  2. Step 2: Convert to fraction form
    14,066.30/19,378.52 = 9,809.60/x
  3. Step 3: Cross multiply
    14,066.30x = 19,378.52 × 9,809.60
  4. Step 4: Simplify right side
    14,066.30x = 190,095,529.79
  5. Step 5: Solve for x
    x = 190,095,529.79/14,066.30
  6. Step 6: Final answer
    x = 13,514.25

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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.