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Finding the Fourth Proportional to 1,929.92, 2,895.20 and 631.44

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Solution

The fourth proportional to 1,929.92, 2,895.20 and 631.44 is: 947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.92 : 2,895.20 = 631.44 : x
  2. Step 2: Convert to fraction form
    1,929.92/2,895.20 = 631.44/x
  3. Step 3: Cross multiply
    1,929.92x = 2,895.20 × 631.44
  4. Step 4: Simplify right side
    1,929.92x = 1,828,145.09
  5. Step 5: Solve for x
    x = 1,828,145.09/1,929.92
  6. Step 6: Final answer
    x = 947.26

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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.