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Finding the Fourth Proportional to 10,302.76, 14,207.34 and 8,815.60

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Solution

The fourth proportional to 10,302.76, 14,207.34 and 8,815.60 is: 12,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.76 : 14,207.34 = 8,815.60 : x
  2. Step 2: Convert to fraction form
    10,302.76/14,207.34 = 8,815.60/x
  3. Step 3: Cross multiply
    10,302.76x = 14,207.34 × 8,815.60
  4. Step 4: Simplify right side
    10,302.76x = 125,246,226.50
  5. Step 5: Solve for x
    x = 125,246,226.50/10,302.76
  6. Step 6: Final answer
    x = 12,156.57

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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.