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Finding the Fourth Proportional to 13,259.63, 19,866.08 and 7,005.87

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Solution

The fourth proportional to 13,259.63, 19,866.08 and 7,005.87 is: 10,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259.63 : 19,866.08 = 7,005.87 : x
  2. Step 2: Convert to fraction form
    13,259.63/19,866.08 = 7,005.87/x
  3. Step 3: Cross multiply
    13,259.63x = 19,866.08 × 7,005.87
  4. Step 4: Simplify right side
    13,259.63x = 139,179,191.40
  5. Step 5: Solve for x
    x = 139,179,191.40/13,259.63
  6. Step 6: Final answer
    x = 10,496.46

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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.