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Finding the Fourth Proportional to 1,384.71, 1,919.14 and 1,358.79

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Solution

The fourth proportional to 1,384.71, 1,919.14 and 1,358.79 is: 1,883.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.71 : 1,919.14 = 1,358.79 : x
  2. Step 2: Convert to fraction form
    1,384.71/1,919.14 = 1,358.79/x
  3. Step 3: Cross multiply
    1,384.71x = 1,919.14 × 1,358.79
  4. Step 4: Simplify right side
    1,384.71x = 2,607,698.64
  5. Step 5: Solve for x
    x = 2,607,698.64/1,384.71
  6. Step 6: Final answer
    x = 1,883.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.