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Finding the Fourth Proportional to 10,200.57, 15,302.21 and 4,276.53

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Solution

The fourth proportional to 10,200.57, 15,302.21 and 4,276.53 is: 6,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.57 : 15,302.21 = 4,276.53 : x
  2. Step 2: Convert to fraction form
    10,200.57/15,302.21 = 4,276.53/x
  3. Step 3: Cross multiply
    10,200.57x = 15,302.21 × 4,276.53
  4. Step 4: Simplify right side
    10,200.57x = 65,440,360.13
  5. Step 5: Solve for x
    x = 65,440,360.13/10,200.57
  6. Step 6: Final answer
    x = 6,415.36

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