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Finding the Fourth Proportional to 10,392.80, 14,342.04 and 5,677.08

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Solution

The fourth proportional to 10,392.80, 14,342.04 and 5,677.08 is: 7,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.80 : 14,342.04 = 5,677.08 : x
  2. Step 2: Convert to fraction form
    10,392.80/14,342.04 = 5,677.08/x
  3. Step 3: Cross multiply
    10,392.80x = 14,342.04 × 5,677.08
  4. Step 4: Simplify right side
    10,392.80x = 81,420,908.44
  5. Step 5: Solve for x
    x = 81,420,908.44/10,392.80
  6. Step 6: Final answer
    x = 7,834.36

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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.