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Finding the Fourth Proportional to 9,130.50, 13,695.78 and 2,205

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Solution

The fourth proportional to 9,130.50, 13,695.78 and 2,205 is: 3,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.50 : 13,695.78 = 2,205 : x
  2. Step 2: Convert to fraction form
    9,130.50/13,695.78 = 2,205/x
  3. Step 3: Cross multiply
    9,130.50x = 13,695.78 × 2,205
  4. Step 4: Simplify right side
    9,130.50x = 30,199,194.90
  5. Step 5: Solve for x
    x = 30,199,194.90/9,130.50
  6. Step 6: Final answer
    x = 3,307.51

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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.