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Finding the Fourth Proportional to 14,429.68, 19,913.52 and 8,142.28

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Solution

The fourth proportional to 14,429.68, 19,913.52 and 8,142.28 is: 11,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429.68 : 19,913.52 = 8,142.28 : x
  2. Step 2: Convert to fraction form
    14,429.68/19,913.52 = 8,142.28/x
  3. Step 3: Cross multiply
    14,429.68x = 19,913.52 × 8,142.28
  4. Step 4: Simplify right side
    14,429.68x = 162,141,455.63
  5. Step 5: Solve for x
    x = 162,141,455.63/14,429.68
  6. Step 6: Final answer
    x = 11,236.66

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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.