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Finding the Fourth Proportional to 3,115.70, 4,673.55 and 924.45

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Solution

The fourth proportional to 3,115.70, 4,673.55 and 924.45 is: 1,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.70 : 4,673.55 = 924.45 : x
  2. Step 2: Convert to fraction form
    3,115.70/4,673.55 = 924.45/x
  3. Step 3: Cross multiply
    3,115.70x = 4,673.55 × 924.45
  4. Step 4: Simplify right side
    3,115.70x = 4,320,463.30
  5. Step 5: Solve for x
    x = 4,320,463.30/3,115.70
  6. Step 6: Final answer
    x = 1,386.68

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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.