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Finding the Fourth Proportional to 14,723.19, 20,312.44 and 9,408.78

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Solution

The fourth proportional to 14,723.19, 20,312.44 and 9,408.78 is: 12,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,723.19 : 20,312.44 = 9,408.78 : x
  2. Step 2: Convert to fraction form
    14,723.19/20,312.44 = 9,408.78/x
  3. Step 3: Cross multiply
    14,723.19x = 20,312.44 × 9,408.78
  4. Step 4: Simplify right side
    14,723.19x = 191,115,255.70
  5. Step 5: Solve for x
    x = 191,115,255.70/14,723.19
  6. Step 6: Final answer
    x = 12,980.56

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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.