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Finding the Fourth Proportional to 7,999, 12,059.40 and 7,435.24

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Solution

The fourth proportional to 7,999, 12,059.40 and 7,435.24 is: 11,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999 : 12,059.40 = 7,435.24 : x
  2. Step 2: Convert to fraction form
    7,999/12,059.40 = 7,435.24/x
  3. Step 3: Cross multiply
    7,999x = 12,059.40 × 7,435.24
  4. Step 4: Simplify right side
    7,999x = 89,664,533.26
  5. Step 5: Solve for x
    x = 89,664,533.26/7,999
  6. Step 6: Final answer
    x = 11,209.47

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1.5x scale

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.