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Finding the Fourth Proportional to 9,107.63, 13,640.18 and 7,011.00

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Solution

The fourth proportional to 9,107.63, 13,640.18 and 7,011.00 is: 10,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.63 : 13,640.18 = 7,011.00 : x
  2. Step 2: Convert to fraction form
    9,107.63/13,640.18 = 7,011.00/x
  3. Step 3: Cross multiply
    9,107.63x = 13,640.18 × 7,011.00
  4. Step 4: Simplify right side
    9,107.63x = 95,631,216.25
  5. Step 5: Solve for x
    x = 95,631,216.25/9,107.63
  6. Step 6: Final answer
    x = 10,500.12

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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.