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Finding the Fourth Proportional to 10,808.70, 14,918.32 and 6,827.28

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Solution

The fourth proportional to 10,808.70, 14,918.32 and 6,827.28 is: 9,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.70 : 14,918.32 = 6,827.28 : x
  2. Step 2: Convert to fraction form
    10,808.70/14,918.32 = 6,827.28/x
  3. Step 3: Cross multiply
    10,808.70x = 14,918.32 × 6,827.28
  4. Step 4: Simplify right side
    10,808.70x = 101,851,456.11
  5. Step 5: Solve for x
    x = 101,851,456.11/10,808.70
  6. Step 6: Final answer
    x = 9,423.10

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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.