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Finding the Fourth Proportional to 4,984.84, 7,442.69 and 4,290.76

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Solution

The fourth proportional to 4,984.84, 7,442.69 and 4,290.76 is: 6,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.84 : 7,442.69 = 4,290.76 : x
  2. Step 2: Convert to fraction form
    4,984.84/7,442.69 = 4,290.76/x
  3. Step 3: Cross multiply
    4,984.84x = 7,442.69 × 4,290.76
  4. Step 4: Simplify right side
    4,984.84x = 31,934,796.54
  5. Step 5: Solve for x
    x = 31,934,796.54/4,984.84
  6. Step 6: Final answer
    x = 6,406.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.