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Finding the Fourth Proportional to 3,031.79, 4,547.25 and 840.38

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Solution

The fourth proportional to 3,031.79, 4,547.25 and 840.38 is: 1,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.79 : 4,547.25 = 840.38 : x
  2. Step 2: Convert to fraction form
    3,031.79/4,547.25 = 840.38/x
  3. Step 3: Cross multiply
    3,031.79x = 4,547.25 × 840.38
  4. Step 4: Simplify right side
    3,031.79x = 3,821,395.22
  5. Step 5: Solve for x
    x = 3,821,395.22/3,031.79
  6. Step 6: Final answer
    x = 1,260.44

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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.