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Finding the Fourth Proportional to 19,989, 29,964.24 and 7,505.64

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Solution

The fourth proportional to 19,989, 29,964.24 and 7,505.64 is: 11,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,989 : 29,964.24 = 7,505.64 : x
  2. Step 2: Convert to fraction form
    19,989/29,964.24 = 7,505.64/x
  3. Step 3: Cross multiply
    19,989x = 29,964.24 × 7,505.64
  4. Step 4: Simplify right side
    19,989x = 224,900,798.31
  5. Step 5: Solve for x
    x = 224,900,798.31/19,989
  6. Step 6: Final answer
    x = 11,251.23

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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.