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Finding the Fourth Proportional to 3,031.69, 4,547.53 and 840.41

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Solution

The fourth proportional to 3,031.69, 4,547.53 and 840.41 is: 1,260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.69 : 4,547.53 = 840.41 : x
  2. Step 2: Convert to fraction form
    3,031.69/4,547.53 = 840.41/x
  3. Step 3: Cross multiply
    3,031.69x = 4,547.53 × 840.41
  4. Step 4: Simplify right side
    3,031.69x = 3,821,798.96
  5. Step 5: Solve for x
    x = 3,821,798.96/3,031.69
  6. Step 6: Final answer
    x = 1,260.62

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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.