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Finding the Fourth Proportional to 1,367.35, 1,887.10 and 926.30

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Solution

The fourth proportional to 1,367.35, 1,887.10 and 926.30 is: 1,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.35 : 1,887.10 = 926.30 : x
  2. Step 2: Convert to fraction form
    1,367.35/1,887.10 = 926.30/x
  3. Step 3: Cross multiply
    1,367.35x = 1,887.10 × 926.30
  4. Step 4: Simplify right side
    1,367.35x = 1,748,023.13
  5. Step 5: Solve for x
    x = 1,748,023.13/1,367.35
  6. Step 6: Final answer
    x = 1,278.40

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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.