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Finding the Fourth Proportional to 11,641.02, 16,065 and 6,605.40

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Solution

The fourth proportional to 11,641.02, 16,065 and 6,605.40 is: 9,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.02 : 16,065 = 6,605.40 : x
  2. Step 2: Convert to fraction form
    11,641.02/16,065 = 6,605.40/x
  3. Step 3: Cross multiply
    11,641.02x = 16,065 × 6,605.40
  4. Step 4: Simplify right side
    11,641.02x = 106,115,751
  5. Step 5: Solve for x
    x = 106,115,751/11,641.02
  6. Step 6: Final answer
    x = 9,115.67

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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.