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Finding the Fourth Proportional to 10,394.42, 14,344.28 and 5,678.74

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Solution

The fourth proportional to 10,394.42, 14,344.28 and 5,678.74 is: 7,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.42 : 14,344.28 = 5,678.74 : x
  2. Step 2: Convert to fraction form
    10,394.42/14,344.28 = 5,678.74/x
  3. Step 3: Cross multiply
    10,394.42x = 14,344.28 × 5,678.74
  4. Step 4: Simplify right side
    10,394.42x = 81,457,372.35
  5. Step 5: Solve for x
    x = 81,457,372.35/10,394.42
  6. Step 6: Final answer
    x = 7,836.64

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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.