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Finding the Fourth Proportional to 1,398.65, 1,931.51 and 1,267.43

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Solution

The fourth proportional to 1,398.65, 1,931.51 and 1,267.43 is: 1,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.65 : 1,931.51 = 1,267.43 : x
  2. Step 2: Convert to fraction form
    1,398.65/1,931.51 = 1,267.43/x
  3. Step 3: Cross multiply
    1,398.65x = 1,931.51 × 1,267.43
  4. Step 4: Simplify right side
    1,398.65x = 2,448,053.72
  5. Step 5: Solve for x
    x = 2,448,053.72/1,398.65
  6. Step 6: Final answer
    x = 1,750.30

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1.5x scale

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.