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Finding the Fourth Proportional to 3,569.04, 4,920.18 and 2,978.64

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Solution

The fourth proportional to 3,569.04, 4,920.18 and 2,978.64 is: 4,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.04 : 4,920.18 = 2,978.64 : x
  2. Step 2: Convert to fraction form
    3,569.04/4,920.18 = 2,978.64/x
  3. Step 3: Cross multiply
    3,569.04x = 4,920.18 × 2,978.64
  4. Step 4: Simplify right side
    3,569.04x = 14,655,444.96
  5. Step 5: Solve for x
    x = 14,655,444.96/3,569.04
  6. Step 6: Final answer
    x = 4,106.27

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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.