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Finding the Fourth Proportional to 3,090.47, 4,635.99 and 898.61

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Solution

The fourth proportional to 3,090.47, 4,635.99 and 898.61 is: 1,347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.47 : 4,635.99 = 898.61 : x
  2. Step 2: Convert to fraction form
    3,090.47/4,635.99 = 898.61/x
  3. Step 3: Cross multiply
    3,090.47x = 4,635.99 × 898.61
  4. Step 4: Simplify right side
    3,090.47x = 4,165,923.79
  5. Step 5: Solve for x
    x = 4,165,923.79/3,090.47
  6. Step 6: Final answer
    x = 1,347.99

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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.