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Finding the Fourth Proportional to 3,031.78, 4,547.68 and 840.52

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Solution

The fourth proportional to 3,031.78, 4,547.68 and 840.52 is: 1,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.78 : 4,547.68 = 840.52 : x
  2. Step 2: Convert to fraction form
    3,031.78/4,547.68 = 840.52/x
  3. Step 3: Cross multiply
    3,031.78x = 4,547.68 × 840.52
  4. Step 4: Simplify right side
    3,031.78x = 3,822,415.99
  5. Step 5: Solve for x
    x = 3,822,415.99/3,031.78
  6. Step 6: Final answer
    x = 1,260.78

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Similar ratio
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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.