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Finding the Fourth Proportional to 9,130, 13,696.80 and 2,890.94

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Solution

The fourth proportional to 9,130, 13,696.80 and 2,890.94 is: 4,336.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130 : 13,696.80 = 2,890.94 : x
  2. Step 2: Convert to fraction form
    9,130/13,696.80 = 2,890.94/x
  3. Step 3: Cross multiply
    9,130x = 13,696.80 × 2,890.94
  4. Step 4: Simplify right side
    9,130x = 39,596,626.99
  5. Step 5: Solve for x
    x = 39,596,626.99/9,130
  6. Step 6: Final answer
    x = 4,336.98

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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.