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Finding the Fourth Proportional to 2,415.60, 3,627.80 and 2,113.20

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Solution

The fourth proportional to 2,415.60, 3,627.80 and 2,113.20 is: 3,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.60 : 3,627.80 = 2,113.20 : x
  2. Step 2: Convert to fraction form
    2,415.60/3,627.80 = 2,113.20/x
  3. Step 3: Cross multiply
    2,415.60x = 3,627.80 × 2,113.20
  4. Step 4: Simplify right side
    2,415.60x = 7,666,266.96
  5. Step 5: Solve for x
    x = 7,666,266.96/2,415.60
  6. Step 6: Final answer
    x = 3,173.65

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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.