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Finding the Fourth Proportional to 2,162.36, 2,983.02 and 1,415.99

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Solution

The fourth proportional to 2,162.36, 2,983.02 and 1,415.99 is: 1,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.36 : 2,983.02 = 1,415.99 : x
  2. Step 2: Convert to fraction form
    2,162.36/2,983.02 = 1,415.99/x
  3. Step 3: Cross multiply
    2,162.36x = 2,983.02 × 1,415.99
  4. Step 4: Simplify right side
    2,162.36x = 4,223,926.49
  5. Step 5: Solve for x
    x = 4,223,926.49/2,162.36
  6. Step 6: Final answer
    x = 1,953.39

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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.