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Finding the Fourth Proportional to 30,802.39, 46,203.18 and 7,428.64

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Solution

The fourth proportional to 30,802.39, 46,203.18 and 7,428.64 is: 11,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.39 : 46,203.18 = 7,428.64 : x
  2. Step 2: Convert to fraction form
    30,802.39/46,203.18 = 7,428.64/x
  3. Step 3: Cross multiply
    30,802.39x = 46,203.18 × 7,428.64
  4. Step 4: Simplify right side
    30,802.39x = 343,226,791.08
  5. Step 5: Solve for x
    x = 343,226,791.08/30,802.39
  6. Step 6: Final answer
    x = 11,142.86

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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.