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Finding the Fourth Proportional to 9,830.40, 14,822.40 and 8,601.60

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Solution

The fourth proportional to 9,830.40, 14,822.40 and 8,601.60 is: 12,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.40 : 14,822.40 = 8,601.60 : x
  2. Step 2: Convert to fraction form
    9,830.40/14,822.40 = 8,601.60/x
  3. Step 3: Cross multiply
    9,830.40x = 14,822.40 × 8,601.60
  4. Step 4: Simplify right side
    9,830.40x = 127,496,355.84
  5. Step 5: Solve for x
    x = 127,496,355.84/9,830.40
  6. Step 6: Final answer
    x = 12,969.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.