Home / 2,070.50-3,106.30-916.52

Finding the Fourth Proportional to 2,070.50, 3,106.30 and 916.52

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Solution

The fourth proportional to 2,070.50, 3,106.30 and 916.52 is: 1,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.50 : 3,106.30 = 916.52 : x
  2. Step 2: Convert to fraction form
    2,070.50/3,106.30 = 916.52/x
  3. Step 3: Cross multiply
    2,070.50x = 3,106.30 × 916.52
  4. Step 4: Simplify right side
    2,070.50x = 2,846,986.08
  5. Step 5: Solve for x
    x = 2,846,986.08/2,070.50
  6. Step 6: Final answer
    x = 1,375.02

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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.