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Finding the Fourth Proportional to 10,511, 15,766.48 and 7,214.08

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Solution

The fourth proportional to 10,511, 15,766.48 and 7,214.08 is: 10,821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511 : 15,766.48 = 7,214.08 : x
  2. Step 2: Convert to fraction form
    10,511/15,766.48 = 7,214.08/x
  3. Step 3: Cross multiply
    10,511x = 15,766.48 × 7,214.08
  4. Step 4: Simplify right side
    10,511x = 113,740,648.04
  5. Step 5: Solve for x
    x = 113,740,648.04/10,511
  6. Step 6: Final answer
    x = 10,821.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.