Home / 2,478.10-3,419.64-1,415.80

Finding the Fourth Proportional to 2,478.10, 3,419.64 and 1,415.80

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Solution

The fourth proportional to 2,478.10, 3,419.64 and 1,415.80 is: 1,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.10 : 3,419.64 = 1,415.80 : x
  2. Step 2: Convert to fraction form
    2,478.10/3,419.64 = 1,415.80/x
  3. Step 3: Cross multiply
    2,478.10x = 3,419.64 × 1,415.80
  4. Step 4: Simplify right side
    2,478.10x = 4,841,526.31
  5. Step 5: Solve for x
    x = 4,841,526.31/2,478.10
  6. Step 6: Final answer
    x = 1,953.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.