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Finding the Fourth Proportional to 1,642.45, 2,266.53 and 934.31

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Solution

The fourth proportional to 1,642.45, 2,266.53 and 934.31 is: 1,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.45 : 2,266.53 = 934.31 : x
  2. Step 2: Convert to fraction form
    1,642.45/2,266.53 = 934.31/x
  3. Step 3: Cross multiply
    1,642.45x = 2,266.53 × 934.31
  4. Step 4: Simplify right side
    1,642.45x = 2,117,641.64
  5. Step 5: Solve for x
    x = 2,117,641.64/1,642.45
  6. Step 6: Final answer
    x = 1,289.32

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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.