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Finding the Fourth Proportional to 3,115.60, 4,674.37 and 924.34

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Solution

The fourth proportional to 3,115.60, 4,674.37 and 924.34 is: 1,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.60 : 4,674.37 = 924.34 : x
  2. Step 2: Convert to fraction form
    3,115.60/4,674.37 = 924.34/x
  3. Step 3: Cross multiply
    3,115.60x = 4,674.37 × 924.34
  4. Step 4: Simplify right side
    3,115.60x = 4,320,707.17
  5. Step 5: Solve for x
    x = 4,320,707.17/3,115.60
  6. Step 6: Final answer
    x = 1,386.80

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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.