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Finding the Fourth Proportional to 11,775.90, 16,234.50 and 9,393.95

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Solution

The fourth proportional to 11,775.90, 16,234.50 and 9,393.95 is: 12,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.90 : 16,234.50 = 9,393.95 : x
  2. Step 2: Convert to fraction form
    11,775.90/16,234.50 = 9,393.95/x
  3. Step 3: Cross multiply
    11,775.90x = 16,234.50 × 9,393.95
  4. Step 4: Simplify right side
    11,775.90x = 152,506,085.01
  5. Step 5: Solve for x
    x = 152,506,085.01/11,775.90
  6. Step 6: Final answer
    x = 12,950.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.