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Finding the Fourth Proportional to 13,061.60, 19,595.64 and 6,128

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Solution

The fourth proportional to 13,061.60, 19,595.64 and 6,128 is: 9,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,061.60 : 19,595.64 = 6,128 : x
  2. Step 2: Convert to fraction form
    13,061.60/19,595.64 = 6,128/x
  3. Step 3: Cross multiply
    13,061.60x = 19,595.64 × 6,128
  4. Step 4: Simplify right side
    13,061.60x = 120,082,081.92
  5. Step 5: Solve for x
    x = 120,082,081.92/13,061.60
  6. Step 6: Final answer
    x = 9,193.52

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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.