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Finding the Fourth Proportional to 1,929.54, 2,894.49 and 631.14

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Solution

The fourth proportional to 1,929.54, 2,894.49 and 631.14 is: 946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.54 : 2,894.49 = 631.14 : x
  2. Step 2: Convert to fraction form
    1,929.54/2,894.49 = 631.14/x
  3. Step 3: Cross multiply
    1,929.54x = 2,894.49 × 631.14
  4. Step 4: Simplify right side
    1,929.54x = 1,826,828.42
  5. Step 5: Solve for x
    x = 1,826,828.42/1,929.54
  6. Step 6: Final answer
    x = 946.77

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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.