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Finding the Fourth Proportional to 9,860.64, 14,797.80 and 8,919.48

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Solution

The fourth proportional to 9,860.64, 14,797.80 and 8,919.48 is: 13,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.64 : 14,797.80 = 8,919.48 : x
  2. Step 2: Convert to fraction form
    9,860.64/14,797.80 = 8,919.48/x
  3. Step 3: Cross multiply
    9,860.64x = 14,797.80 × 8,919.48
  4. Step 4: Simplify right side
    9,860.64x = 131,988,681.14
  5. Step 5: Solve for x
    x = 131,988,681.14/9,860.64
  6. Step 6: Final answer
    x = 13,385.41

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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.