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Finding the Fourth Proportional to 3,031.76, 4,547.12 and 840

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Solution

The fourth proportional to 3,031.76, 4,547.12 and 840 is: 1,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.76 : 4,547.12 = 840 : x
  2. Step 2: Convert to fraction form
    3,031.76/4,547.12 = 840/x
  3. Step 3: Cross multiply
    3,031.76x = 4,547.12 × 840
  4. Step 4: Simplify right side
    3,031.76x = 3,819,576.60
  5. Step 5: Solve for x
    x = 3,819,576.60/3,031.76
  6. Step 6: Final answer
    x = 1,259.86

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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.