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Finding the Fourth Proportional to 3,649.86, 5,473.71 and 1,309.68

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Solution

The fourth proportional to 3,649.86, 5,473.71 and 1,309.68 is: 1,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.86 : 5,473.71 = 1,309.68 : x
  2. Step 2: Convert to fraction form
    3,649.86/5,473.71 = 1,309.68/x
  3. Step 3: Cross multiply
    3,649.86x = 5,473.71 × 1,309.68
  4. Step 4: Simplify right side
    3,649.86x = 7,168,808.51
  5. Step 5: Solve for x
    x = 7,168,808.51/3,649.86
  6. Step 6: Final answer
    x = 1,964.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.