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Finding the Fourth Proportional to 14,013, 19,332.27 and 8,978.04

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Solution

The fourth proportional to 14,013, 19,332.27 and 8,978.04 is: 12,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013 : 19,332.27 = 8,978.04 : x
  2. Step 2: Convert to fraction form
    14,013/19,332.27 = 8,978.04/x
  3. Step 3: Cross multiply
    14,013x = 19,332.27 × 8,978.04
  4. Step 4: Simplify right side
    14,013x = 173,565,893.35
  5. Step 5: Solve for x
    x = 173,565,893.35/14,013
  6. Step 6: Final answer
    x = 12,386.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.