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Finding the Fourth Proportional to 2,070.99, 3,106.98 and 610.10

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Solution

The fourth proportional to 2,070.99, 3,106.98 and 610.10 is: 915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.99 : 3,106.98 = 610.10 : x
  2. Step 2: Convert to fraction form
    2,070.99/3,106.98 = 610.10/x
  3. Step 3: Cross multiply
    2,070.99x = 3,106.98 × 610.10
  4. Step 4: Simplify right side
    2,070.99x = 1,895,552.96
  5. Step 5: Solve for x
    x = 1,895,552.96/2,070.99
  6. Step 6: Final answer
    x = 915.29

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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.