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Finding the Fourth Proportional to 10,808.82, 14,918.49 and 6,827.40

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Solution

The fourth proportional to 10,808.82, 14,918.49 and 6,827.40 is: 9,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.82 : 14,918.49 = 6,827.40 : x
  2. Step 2: Convert to fraction form
    10,808.82/14,918.49 = 6,827.40/x
  3. Step 3: Cross multiply
    10,808.82x = 14,918.49 × 6,827.40
  4. Step 4: Simplify right side
    10,808.82x = 101,854,498.63
  5. Step 5: Solve for x
    x = 101,854,498.63/10,808.82
  6. Step 6: Final answer
    x = 9,423.28

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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.