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Finding the Fourth Proportional to 3,066.51, 4,599 and 1,421.47

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Solution

The fourth proportional to 3,066.51, 4,599 and 1,421.47 is: 2,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.51 : 4,599 = 1,421.47 : x
  2. Step 2: Convert to fraction form
    3,066.51/4,599 = 1,421.47/x
  3. Step 3: Cross multiply
    3,066.51x = 4,599 × 1,421.47
  4. Step 4: Simplify right side
    3,066.51x = 6,537,340.53
  5. Step 5: Solve for x
    x = 6,537,340.53/3,066.51
  6. Step 6: Final answer
    x = 2,131.85

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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.