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Finding the Fourth Proportional to 9,860, 13,606.80 and 5,444

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Solution

The fourth proportional to 9,860, 13,606.80 and 5,444 is: 7,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860 : 13,606.80 = 5,444 : x
  2. Step 2: Convert to fraction form
    9,860/13,606.80 = 5,444/x
  3. Step 3: Cross multiply
    9,860x = 13,606.80 × 5,444
  4. Step 4: Simplify right side
    9,860x = 74,075,419.20
  5. Step 5: Solve for x
    x = 74,075,419.20/9,860
  6. Step 6: Final answer
    x = 7,512.72

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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.