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Finding the Fourth Proportional to 14,027.76, 19,358.19 and 7,740

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Solution

The fourth proportional to 14,027.76, 19,358.19 and 7,740 is: 10,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.76 : 19,358.19 = 7,740 : x
  2. Step 2: Convert to fraction form
    14,027.76/19,358.19 = 7,740/x
  3. Step 3: Cross multiply
    14,027.76x = 19,358.19 × 7,740
  4. Step 4: Simplify right side
    14,027.76x = 149,832,390.60
  5. Step 5: Solve for x
    x = 149,832,390.60/14,027.76
  6. Step 6: Final answer
    x = 10,681.13

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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.