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Finding the Fourth Proportional to 30,978.19, 46,468.19 and 7,604.63

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Solution

The fourth proportional to 30,978.19, 46,468.19 and 7,604.63 is: 11,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.19 : 46,468.19 = 7,604.63 : x
  2. Step 2: Convert to fraction form
    30,978.19/46,468.19 = 7,604.63/x
  3. Step 3: Cross multiply
    30,978.19x = 46,468.19 × 7,604.63
  4. Step 4: Simplify right side
    30,978.19x = 353,373,178.39
  5. Step 5: Solve for x
    x = 353,373,178.39/30,978.19
  6. Step 6: Final answer
    x = 11,407.16

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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.