Home / 1,929.78-2,894.85-543.13

Finding the Fourth Proportional to 1,929.78, 2,894.85 and 543.13

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Solution

The fourth proportional to 1,929.78, 2,894.85 and 543.13 is: 814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.78 : 2,894.85 = 543.13 : x
  2. Step 2: Convert to fraction form
    1,929.78/2,894.85 = 543.13/x
  3. Step 3: Cross multiply
    1,929.78x = 2,894.85 × 543.13
  4. Step 4: Simplify right side
    1,929.78x = 1,572,272.64
  5. Step 5: Solve for x
    x = 1,572,272.64/1,929.78
  6. Step 6: Final answer
    x = 814.74

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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.