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Finding the Fourth Proportional to 9,143.84, 13,696.60 and 7,580.12

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Solution

The fourth proportional to 9,143.84, 13,696.60 and 7,580.12 is: 11,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.84 : 13,696.60 = 7,580.12 : x
  2. Step 2: Convert to fraction form
    9,143.84/13,696.60 = 7,580.12/x
  3. Step 3: Cross multiply
    9,143.84x = 13,696.60 × 7,580.12
  4. Step 4: Simplify right side
    9,143.84x = 103,821,871.59
  5. Step 5: Solve for x
    x = 103,821,871.59/9,143.84
  6. Step 6: Final answer
    x = 11,354.30

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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.