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Finding the Fourth Proportional to 14,406.84, 19,895.64 and 9,942.12

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Solution

The fourth proportional to 14,406.84, 19,895.64 and 9,942.12 is: 13,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.84 : 19,895.64 = 9,942.12 : x
  2. Step 2: Convert to fraction form
    14,406.84/19,895.64 = 9,942.12/x
  3. Step 3: Cross multiply
    14,406.84x = 19,895.64 × 9,942.12
  4. Step 4: Simplify right side
    14,406.84x = 197,804,840.36
  5. Step 5: Solve for x
    x = 197,804,840.36/14,406.84
  6. Step 6: Final answer
    x = 13,729.93

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1.5x scale

Why These Related Problems?

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