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Finding the Fourth Proportional to 5,603.76, 8,407.80 and 3,005.28

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Solution

The fourth proportional to 5,603.76, 8,407.80 and 3,005.28 is: 4,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.76 : 8,407.80 = 3,005.28 : x
  2. Step 2: Convert to fraction form
    5,603.76/8,407.80 = 3,005.28/x
  3. Step 3: Cross multiply
    5,603.76x = 8,407.80 × 3,005.28
  4. Step 4: Simplify right side
    5,603.76x = 25,267,793.18
  5. Step 5: Solve for x
    x = 25,267,793.18/5,603.76
  6. Step 6: Final answer
    x = 4,509.08

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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.