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Finding the Fourth Proportional to 2,384.71, 3,289.53 and 1,389.88

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Solution

The fourth proportional to 2,384.71, 3,289.53 and 1,389.88 is: 1,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.71 : 3,289.53 = 1,389.88 : x
  2. Step 2: Convert to fraction form
    2,384.71/3,289.53 = 1,389.88/x
  3. Step 3: Cross multiply
    2,384.71x = 3,289.53 × 1,389.88
  4. Step 4: Simplify right side
    2,384.71x = 4,572,035.51
  5. Step 5: Solve for x
    x = 4,572,035.51/2,384.71
  6. Step 6: Final answer
    x = 1,917.23

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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.