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Finding the Fourth Proportional to 15,520, 23,284.48 and 4,576

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Solution

The fourth proportional to 15,520, 23,284.48 and 4,576 is: 6,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,520 : 23,284.48 = 4,576 : x
  2. Step 2: Convert to fraction form
    15,520/23,284.48 = 4,576/x
  3. Step 3: Cross multiply
    15,520x = 23,284.48 × 4,576
  4. Step 4: Simplify right side
    15,520x = 106,549,780.48
  5. Step 5: Solve for x
    x = 106,549,780.48/15,520
  6. Step 6: Final answer
    x = 6,865.32

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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.