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Finding the Fourth Proportional to 30,978.46, 46,461.99 and 14,107.47

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Solution

The fourth proportional to 30,978.46, 46,461.99 and 14,107.47 is: 21,158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.46 : 46,461.99 = 14,107.47 : x
  2. Step 2: Convert to fraction form
    30,978.46/46,461.99 = 14,107.47/x
  3. Step 3: Cross multiply
    30,978.46x = 46,461.99 × 14,107.47
  4. Step 4: Simplify right side
    30,978.46x = 655,461,130.07
  5. Step 5: Solve for x
    x = 655,461,130.07/30,978.46
  6. Step 6: Final answer
    x = 21,158.61

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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.