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Finding the Fourth Proportional to 11,520, 17,289.72 and 4,594.50

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Solution

The fourth proportional to 11,520, 17,289.72 and 4,594.50 is: 6,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520 : 17,289.72 = 4,594.50 : x
  2. Step 2: Convert to fraction form
    11,520/17,289.72 = 4,594.50/x
  3. Step 3: Cross multiply
    11,520x = 17,289.72 × 4,594.50
  4. Step 4: Simplify right side
    11,520x = 79,437,618.54
  5. Step 5: Solve for x
    x = 79,437,618.54/11,520
  6. Step 6: Final answer
    x = 6,895.63

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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.