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Finding the Fourth Proportional to 2,989.47, 4,491.53 and 2,823.69

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Solution

The fourth proportional to 2,989.47, 4,491.53 and 2,823.69 is: 4,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.47 : 4,491.53 = 2,823.69 : x
  2. Step 2: Convert to fraction form
    2,989.47/4,491.53 = 2,823.69/x
  3. Step 3: Cross multiply
    2,989.47x = 4,491.53 × 2,823.69
  4. Step 4: Simplify right side
    2,989.47x = 12,682,688.35
  5. Step 5: Solve for x
    x = 12,682,688.35/2,989.47
  6. Step 6: Final answer
    x = 4,242.45

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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.