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Finding the Fourth Proportional to 9,871.02, 14,828.40 and 8,427.60

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Solution

The fourth proportional to 9,871.02, 14,828.40 and 8,427.60 is: 12,660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.02 : 14,828.40 = 8,427.60 : x
  2. Step 2: Convert to fraction form
    9,871.02/14,828.40 = 8,427.60/x
  3. Step 3: Cross multiply
    9,871.02x = 14,828.40 × 8,427.60
  4. Step 4: Simplify right side
    9,871.02x = 124,967,823.84
  5. Step 5: Solve for x
    x = 124,967,823.84/9,871.02
  6. Step 6: Final answer
    x = 12,660.07

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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.