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Finding the Fourth Proportional to 1,425.04, 2,137.12 and 766.51

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Solution

The fourth proportional to 1,425.04, 2,137.12 and 766.51 is: 1,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.04 : 2,137.12 = 766.51 : x
  2. Step 2: Convert to fraction form
    1,425.04/2,137.12 = 766.51/x
  3. Step 3: Cross multiply
    1,425.04x = 2,137.12 × 766.51
  4. Step 4: Simplify right side
    1,425.04x = 1,638,123.85
  5. Step 5: Solve for x
    x = 1,638,123.85/1,425.04
  6. Step 6: Final answer
    x = 1,149.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.