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Finding the Fourth Proportional to 2,603.52, 3,909.60 and 2,030.40

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Solution

The fourth proportional to 2,603.52, 3,909.60 and 2,030.40 is: 3,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.52 : 3,909.60 = 2,030.40 : x
  2. Step 2: Convert to fraction form
    2,603.52/3,909.60 = 2,030.40/x
  3. Step 3: Cross multiply
    2,603.52x = 3,909.60 × 2,030.40
  4. Step 4: Simplify right side
    2,603.52x = 7,938,051.84
  5. Step 5: Solve for x
    x = 7,938,051.84/2,603.52
  6. Step 6: Final answer
    x = 3,048.97

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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.