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Finding the Fourth Proportional to 9,830.40, 14,750.40 and 7,489.60

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Solution

The fourth proportional to 9,830.40, 14,750.40 and 7,489.60 is: 11,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.40 : 14,750.40 = 7,489.60 : x
  2. Step 2: Convert to fraction form
    9,830.40/14,750.40 = 7,489.60/x
  3. Step 3: Cross multiply
    9,830.40x = 14,750.40 × 7,489.60
  4. Step 4: Simplify right side
    9,830.40x = 110,474,595.84
  5. Step 5: Solve for x
    x = 110,474,595.84/9,830.40
  6. Step 6: Final answer
    x = 11,238.06

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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.