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Finding the Fourth Proportional to 1,929.24, 2,892.36 and 954.72

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Solution

The fourth proportional to 1,929.24, 2,892.36 and 954.72 is: 1,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.24 : 2,892.36 = 954.72 : x
  2. Step 2: Convert to fraction form
    1,929.24/2,892.36 = 954.72/x
  3. Step 3: Cross multiply
    1,929.24x = 2,892.36 × 954.72
  4. Step 4: Simplify right side
    1,929.24x = 2,761,393.94
  5. Step 5: Solve for x
    x = 2,761,393.94/1,929.24
  6. Step 6: Final answer
    x = 1,431.34

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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.