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Finding the Fourth Proportional to 9,875.20, 14,812.80 and 4,028.80

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Solution

The fourth proportional to 9,875.20, 14,812.80 and 4,028.80 is: 6,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.20 : 14,812.80 = 4,028.80 : x
  2. Step 2: Convert to fraction form
    9,875.20/14,812.80 = 4,028.80/x
  3. Step 3: Cross multiply
    9,875.20x = 14,812.80 × 4,028.80
  4. Step 4: Simplify right side
    9,875.20x = 59,677,808.64
  5. Step 5: Solve for x
    x = 59,677,808.64/9,875.20
  6. Step 6: Final answer
    x = 6,043.20

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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.