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Finding the Fourth Proportional to 14,178.64, 21,254.14 and 7,941.64

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Solution

The fourth proportional to 14,178.64, 21,254.14 and 7,941.64 is: 11,904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.64 : 21,254.14 = 7,941.64 : x
  2. Step 2: Convert to fraction form
    14,178.64/21,254.14 = 7,941.64/x
  3. Step 3: Cross multiply
    14,178.64x = 21,254.14 × 7,941.64
  4. Step 4: Simplify right side
    14,178.64x = 168,792,728.39
  5. Step 5: Solve for x
    x = 168,792,728.39/14,178.64
  6. Step 6: Final answer
    x = 11,904.72

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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.