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Finding the Fourth Proportional to 6,876.68, 10,315.40 and 1,946.68

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Solution

The fourth proportional to 6,876.68, 10,315.40 and 1,946.68 is: 2,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.68 : 10,315.40 = 1,946.68 : x
  2. Step 2: Convert to fraction form
    6,876.68/10,315.40 = 1,946.68/x
  3. Step 3: Cross multiply
    6,876.68x = 10,315.40 × 1,946.68
  4. Step 4: Simplify right side
    6,876.68x = 20,080,782.87
  5. Step 5: Solve for x
    x = 20,080,782.87/6,876.68
  6. Step 6: Final answer
    x = 2,920.13

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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.