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Finding the Fourth Proportional to 4,402.04, 6,602 and 1,281.20

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Solution

The fourth proportional to 4,402.04, 6,602 and 1,281.20 is: 1,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.04 : 6,602 = 1,281.20 : x
  2. Step 2: Convert to fraction form
    4,402.04/6,602 = 1,281.20/x
  3. Step 3: Cross multiply
    4,402.04x = 6,602 × 1,281.20
  4. Step 4: Simplify right side
    4,402.04x = 8,458,482.40
  5. Step 5: Solve for x
    x = 8,458,482.40/4,402.04
  6. Step 6: Final answer
    x = 1,921.49

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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.