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Finding the Fourth Proportional to 2,153.31, 2,986.66 and 2,065.83

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Solution

The fourth proportional to 2,153.31, 2,986.66 and 2,065.83 is: 2,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.31 : 2,986.66 = 2,065.83 : x
  2. Step 2: Convert to fraction form
    2,153.31/2,986.66 = 2,065.83/x
  3. Step 3: Cross multiply
    2,153.31x = 2,986.66 × 2,065.83
  4. Step 4: Simplify right side
    2,153.31x = 6,169,931.83
  5. Step 5: Solve for x
    x = 6,169,931.83/2,153.31
  6. Step 6: Final answer
    x = 2,865.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.