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Finding the Fourth Proportional to 9,919.60, 14,875.80 and 4,987.60

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Solution

The fourth proportional to 9,919.60, 14,875.80 and 4,987.60 is: 7,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.60 : 14,875.80 = 4,987.60 : x
  2. Step 2: Convert to fraction form
    9,919.60/14,875.80 = 4,987.60/x
  3. Step 3: Cross multiply
    9,919.60x = 14,875.80 × 4,987.60
  4. Step 4: Simplify right side
    9,919.60x = 74,194,540.08
  5. Step 5: Solve for x
    x = 74,194,540.08/9,919.60
  6. Step 6: Final answer
    x = 7,479.59

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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.