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Finding the Fourth Proportional to 14,447.40, 19,934.22 and 9,411.12

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Solution

The fourth proportional to 14,447.40, 19,934.22 and 9,411.12 is: 12,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.40 : 19,934.22 = 9,411.12 : x
  2. Step 2: Convert to fraction form
    14,447.40/19,934.22 = 9,411.12/x
  3. Step 3: Cross multiply
    14,447.40x = 19,934.22 × 9,411.12
  4. Step 4: Simplify right side
    14,447.40x = 187,603,336.53
  5. Step 5: Solve for x
    x = 187,603,336.53/14,447.40
  6. Step 6: Final answer
    x = 12,985.27

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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.