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Finding the Fourth Proportional to 7,911.40, 11,852.70 and 6,442.60

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Solution

The fourth proportional to 7,911.40, 11,852.70 and 6,442.60 is: 9,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.40 : 11,852.70 = 6,442.60 : x
  2. Step 2: Convert to fraction form
    7,911.40/11,852.70 = 6,442.60/x
  3. Step 3: Cross multiply
    7,911.40x = 11,852.70 × 6,442.60
  4. Step 4: Simplify right side
    7,911.40x = 76,362,205.02
  5. Step 5: Solve for x
    x = 76,362,205.02/7,911.40
  6. Step 6: Final answer
    x = 9,652.17

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1.5x scale

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.