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Finding the Fourth Proportional to 3,120.54, 4,676.90 and 1,560.98

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Solution

The fourth proportional to 3,120.54, 4,676.90 and 1,560.98 is: 2,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.54 : 4,676.90 = 1,560.98 : x
  2. Step 2: Convert to fraction form
    3,120.54/4,676.90 = 1,560.98/x
  3. Step 3: Cross multiply
    3,120.54x = 4,676.90 × 1,560.98
  4. Step 4: Simplify right side
    3,120.54x = 7,300,547.36
  5. Step 5: Solve for x
    x = 7,300,547.36/3,120.54
  6. Step 6: Final answer
    x = 2,339.51

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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.