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Finding the Fourth Proportional to 2,070.92, 3,106.44 and 975.80

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Solution

The fourth proportional to 2,070.92, 3,106.44 and 975.80 is: 1,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.92 : 3,106.44 = 975.80 : x
  2. Step 2: Convert to fraction form
    2,070.92/3,106.44 = 975.80/x
  3. Step 3: Cross multiply
    2,070.92x = 3,106.44 × 975.80
  4. Step 4: Simplify right side
    2,070.92x = 3,031,264.15
  5. Step 5: Solve for x
    x = 3,031,264.15/2,070.92
  6. Step 6: Final answer
    x = 1,463.73

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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.