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Finding the Fourth Proportional to 9,137.00, 13,705.47 and 2,211.50

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Solution

The fourth proportional to 9,137.00, 13,705.47 and 2,211.50 is: 3,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.00 : 13,705.47 = 2,211.50 : x
  2. Step 2: Convert to fraction form
    9,137.00/13,705.47 = 2,211.50/x
  3. Step 3: Cross multiply
    9,137.00x = 13,705.47 × 2,211.50
  4. Step 4: Simplify right side
    9,137.00x = 30,309,681.17
  5. Step 5: Solve for x
    x = 30,309,681.17/9,137.00
  6. Step 6: Final answer
    x = 3,317.25

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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.