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Finding the Fourth Proportional to 13,681.68, 18,893.16 and 10,318.74

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Solution

The fourth proportional to 13,681.68, 18,893.16 and 10,318.74 is: 14,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.68 : 18,893.16 = 10,318.74 : x
  2. Step 2: Convert to fraction form
    13,681.68/18,893.16 = 10,318.74/x
  3. Step 3: Cross multiply
    13,681.68x = 18,893.16 × 10,318.74
  4. Step 4: Simplify right side
    13,681.68x = 194,953,605.82
  5. Step 5: Solve for x
    x = 194,953,605.82/13,681.68
  6. Step 6: Final answer
    x = 14,249.24

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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.