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Finding the Fourth Proportional to 10,228.80, 15,328.80 and 7,575.60

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Solution

The fourth proportional to 10,228.80, 15,328.80 and 7,575.60 is: 11,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.80 : 15,328.80 = 7,575.60 : x
  2. Step 2: Convert to fraction form
    10,228.80/15,328.80 = 7,575.60/x
  3. Step 3: Cross multiply
    10,228.80x = 15,328.80 × 7,575.60
  4. Step 4: Simplify right side
    10,228.80x = 116,124,857.28
  5. Step 5: Solve for x
    x = 116,124,857.28/10,228.80
  6. Step 6: Final answer
    x = 11,352.74

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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.