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Finding the Fourth Proportional to 9,927, 14,835.60 and 7,970.04

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Solution

The fourth proportional to 9,927, 14,835.60 and 7,970.04 is: 11,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927 : 14,835.60 = 7,970.04 : x
  2. Step 2: Convert to fraction form
    9,927/14,835.60 = 7,970.04/x
  3. Step 3: Cross multiply
    9,927x = 14,835.60 × 7,970.04
  4. Step 4: Simplify right side
    9,927x = 118,240,325.42
  5. Step 5: Solve for x
    x = 118,240,325.42/9,927
  6. Step 6: Final answer
    x = 11,910.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.