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Finding the Fourth Proportional to 1,929.88, 2,894.59 and 631.34

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Solution

The fourth proportional to 1,929.88, 2,894.59 and 631.34 is: 946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.88 : 2,894.59 = 631.34 : x
  2. Step 2: Convert to fraction form
    1,929.88/2,894.59 = 631.34/x
  3. Step 3: Cross multiply
    1,929.88x = 2,894.59 × 631.34
  4. Step 4: Simplify right side
    1,929.88x = 1,827,480.35
  5. Step 5: Solve for x
    x = 1,827,480.35/1,929.88
  6. Step 6: Final answer
    x = 946.94

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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.