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Finding the Fourth Proportional to 13,009.98, 19,509.50 and 9,477.98

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Solution

The fourth proportional to 13,009.98, 19,509.50 and 9,477.98 is: 14,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.98 : 19,509.50 = 9,477.98 : x
  2. Step 2: Convert to fraction form
    13,009.98/19,509.50 = 9,477.98/x
  3. Step 3: Cross multiply
    13,009.98x = 19,509.50 × 9,477.98
  4. Step 4: Simplify right side
    13,009.98x = 184,910,505.87
  5. Step 5: Solve for x
    x = 184,910,505.87/13,009.98
  6. Step 6: Final answer
    x = 14,212.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.