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Finding the Fourth Proportional to 14,282, 19,717.80 and 9,322.64

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Solution

The fourth proportional to 14,282, 19,717.80 and 9,322.64 is: 12,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282 : 19,717.80 = 9,322.64 : x
  2. Step 2: Convert to fraction form
    14,282/19,717.80 = 9,322.64/x
  3. Step 3: Cross multiply
    14,282x = 19,717.80 × 9,322.64
  4. Step 4: Simplify right side
    14,282x = 183,821,950.99
  5. Step 5: Solve for x
    x = 183,821,950.99/14,282
  6. Step 6: Final answer
    x = 12,870.88

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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.