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Finding the Fourth Proportional to 14,421.49, 19,893.95 and 9,947.46

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Solution

The fourth proportional to 14,421.49, 19,893.95 and 9,947.46 is: 13,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.49 : 19,893.95 = 9,947.46 : x
  2. Step 2: Convert to fraction form
    14,421.49/19,893.95 = 9,947.46/x
  3. Step 3: Cross multiply
    14,421.49x = 19,893.95 × 9,947.46
  4. Step 4: Simplify right side
    14,421.49x = 197,894,122.66
  5. Step 5: Solve for x
    x = 197,894,122.66/14,421.49
  6. Step 6: Final answer
    x = 13,722.17

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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.