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Finding the Fourth Proportional to 14,013.79, 19,328.09 and 8,978.48

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Solution

The fourth proportional to 14,013.79, 19,328.09 and 8,978.48 is: 12,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013.79 : 19,328.09 = 8,978.48 : x
  2. Step 2: Convert to fraction form
    14,013.79/19,328.09 = 8,978.48/x
  3. Step 3: Cross multiply
    14,013.79x = 19,328.09 × 8,978.48
  4. Step 4: Simplify right side
    14,013.79x = 173,536,869.50
  5. Step 5: Solve for x
    x = 173,536,869.50/14,013.79
  6. Step 6: Final answer
    x = 12,383.29

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1.5x scale

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.