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Finding the Fourth Proportional to 14,004, 19,325.60 and 9,761.28

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Solution

The fourth proportional to 14,004, 19,325.60 and 9,761.28 is: 13,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004 : 19,325.60 = 9,761.28 : x
  2. Step 2: Convert to fraction form
    14,004/19,325.60 = 9,761.28/x
  3. Step 3: Cross multiply
    14,004x = 19,325.60 × 9,761.28
  4. Step 4: Simplify right side
    14,004x = 188,642,592.77
  5. Step 5: Solve for x
    x = 188,642,592.77/14,004
  6. Step 6: Final answer
    x = 13,470.62

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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.