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Finding the Fourth Proportional to 2,045.98, 2,822.98 and 1,415.48

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Solution

The fourth proportional to 2,045.98, 2,822.98 and 1,415.48 is: 1,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.98 : 2,822.98 = 1,415.48 : x
  2. Step 2: Convert to fraction form
    2,045.98/2,822.98 = 1,415.48/x
  3. Step 3: Cross multiply
    2,045.98x = 2,822.98 × 1,415.48
  4. Step 4: Simplify right side
    2,045.98x = 3,995,852.75
  5. Step 5: Solve for x
    x = 3,995,852.75/2,045.98
  6. Step 6: Final answer
    x = 1,953.02

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1.5x scale

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.