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Finding the Fourth Proportional to 3,637, 5,430.66 and 2,986.12

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Solution

The fourth proportional to 3,637, 5,430.66 and 2,986.12 is: 4,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637 : 5,430.66 = 2,986.12 : x
  2. Step 2: Convert to fraction form
    3,637/5,430.66 = 2,986.12/x
  3. Step 3: Cross multiply
    3,637x = 5,430.66 × 2,986.12
  4. Step 4: Simplify right side
    3,637x = 16,216,602.44
  5. Step 5: Solve for x
    x = 16,216,602.44/3,637
  6. Step 6: Final answer
    x = 4,458.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.