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Finding the Fourth Proportional to 14,392.64, 19,870.44 and 10,409.60

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Solution

The fourth proportional to 14,392.64, 19,870.44 and 10,409.60 is: 14,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,392.64 : 19,870.44 = 10,409.60 : x
  2. Step 2: Convert to fraction form
    14,392.64/19,870.44 = 10,409.60/x
  3. Step 3: Cross multiply
    14,392.64x = 19,870.44 × 10,409.60
  4. Step 4: Simplify right side
    14,392.64x = 206,843,332.22
  5. Step 5: Solve for x
    x = 206,843,332.22/14,392.64
  6. Step 6: Final answer
    x = 14,371.47

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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.