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Finding the Fourth Proportional to 1,924.32, 2,886.16 and 556

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Solution

The fourth proportional to 1,924.32, 2,886.16 and 556 is: 833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.32 : 2,886.16 = 556 : x
  2. Step 2: Convert to fraction form
    1,924.32/2,886.16 = 556/x
  3. Step 3: Cross multiply
    1,924.32x = 2,886.16 × 556
  4. Step 4: Simplify right side
    1,924.32x = 1,604,704.96
  5. Step 5: Solve for x
    x = 1,604,704.96/1,924.32
  6. Step 6: Final answer
    x = 833.91

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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.