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Finding the Fourth Proportional to 13,038.88, 17,994 and 7,374.64

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Solution

The fourth proportional to 13,038.88, 17,994 and 7,374.64 is: 10,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.88 : 17,994 = 7,374.64 : x
  2. Step 2: Convert to fraction form
    13,038.88/17,994 = 7,374.64/x
  3. Step 3: Cross multiply
    13,038.88x = 17,994 × 7,374.64
  4. Step 4: Simplify right side
    13,038.88x = 132,699,272.16
  5. Step 5: Solve for x
    x = 132,699,272.16/13,038.88
  6. Step 6: Final answer
    x = 10,177.20

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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.