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Finding the Fourth Proportional to 2,030.83, 2,803.84 and 1,658.70

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Solution

The fourth proportional to 2,030.83, 2,803.84 and 1,658.70 is: 2,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.83 : 2,803.84 = 1,658.70 : x
  2. Step 2: Convert to fraction form
    2,030.83/2,803.84 = 1,658.70/x
  3. Step 3: Cross multiply
    2,030.83x = 2,803.84 × 1,658.70
  4. Step 4: Simplify right side
    2,030.83x = 4,650,729.41
  5. Step 5: Solve for x
    x = 4,650,729.41/2,030.83
  6. Step 6: Final answer
    x = 2,290.07

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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.