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Finding the Fourth Proportional to 3,602.50, 4,970.24 and 2,938.20

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Solution

The fourth proportional to 3,602.50, 4,970.24 and 2,938.20 is: 4,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.50 : 4,970.24 = 2,938.20 : x
  2. Step 2: Convert to fraction form
    3,602.50/4,970.24 = 2,938.20/x
  3. Step 3: Cross multiply
    3,602.50x = 4,970.24 × 2,938.20
  4. Step 4: Simplify right side
    3,602.50x = 14,603,559.17
  5. Step 5: Solve for x
    x = 14,603,559.17/3,602.50
  6. Step 6: Final answer
    x = 4,053.73

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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.