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Finding the Fourth Proportional to 3,032.93, 4,551.82 and 1,572.50

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Solution

The fourth proportional to 3,032.93, 4,551.82 and 1,572.50 is: 2,360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.93 : 4,551.82 = 1,572.50 : x
  2. Step 2: Convert to fraction form
    3,032.93/4,551.82 = 1,572.50/x
  3. Step 3: Cross multiply
    3,032.93x = 4,551.82 × 1,572.50
  4. Step 4: Simplify right side
    3,032.93x = 7,157,736.95
  5. Step 5: Solve for x
    x = 7,157,736.95/3,032.93
  6. Step 6: Final answer
    x = 2,360.01

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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.