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Finding the Fourth Proportional to 1,699.86, 2,346.39 and 1,306.38

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Solution

The fourth proportional to 1,699.86, 2,346.39 and 1,306.38 is: 1,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.86 : 2,346.39 = 1,306.38 : x
  2. Step 2: Convert to fraction form
    1,699.86/2,346.39 = 1,306.38/x
  3. Step 3: Cross multiply
    1,699.86x = 2,346.39 × 1,306.38
  4. Step 4: Simplify right side
    1,699.86x = 3,065,276.97
  5. Step 5: Solve for x
    x = 3,065,276.97/1,699.86
  6. Step 6: Final answer
    x = 1,803.25

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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.