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Finding the Fourth Proportional to 2,389.54, 3,582.09 and 929.77

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Solution

The fourth proportional to 2,389.54, 3,582.09 and 929.77 is: 1,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.54 : 3,582.09 = 929.77 : x
  2. Step 2: Convert to fraction form
    2,389.54/3,582.09 = 929.77/x
  3. Step 3: Cross multiply
    2,389.54x = 3,582.09 × 929.77
  4. Step 4: Simplify right side
    2,389.54x = 3,330,519.82
  5. Step 5: Solve for x
    x = 3,330,519.82/2,389.54
  6. Step 6: Final answer
    x = 1,393.79

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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.