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Finding the Fourth Proportional to 14,355.80, 19,814.94 and 9,319.76

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Solution

The fourth proportional to 14,355.80, 19,814.94 and 9,319.76 is: 12,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,355.80 : 19,814.94 = 9,319.76 : x
  2. Step 2: Convert to fraction form
    14,355.80/19,814.94 = 9,319.76/x
  3. Step 3: Cross multiply
    14,355.80x = 19,814.94 × 9,319.76
  4. Step 4: Simplify right side
    14,355.80x = 184,670,485.21
  5. Step 5: Solve for x
    x = 184,670,485.21/14,355.80
  6. Step 6: Final answer
    x = 12,863.82

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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.