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Finding the Fourth Proportional to 30,978.69, 46,468.95 and 7,605.13

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Solution

The fourth proportional to 30,978.69, 46,468.95 and 7,605.13 is: 11,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.69 : 46,468.95 = 7,605.13 : x
  2. Step 2: Convert to fraction form
    30,978.69/46,468.95 = 7,605.13/x
  3. Step 3: Cross multiply
    30,978.69x = 46,468.95 × 7,605.13
  4. Step 4: Simplify right side
    30,978.69x = 353,402,135.34
  5. Step 5: Solve for x
    x = 353,402,135.34/30,978.69
  6. Step 6: Final answer
    x = 11,407.91

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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.