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Finding the Fourth Proportional to 12,368.40, 17,071.62 and 7,649.94

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Solution

The fourth proportional to 12,368.40, 17,071.62 and 7,649.94 is: 10,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.40 : 17,071.62 = 7,649.94 : x
  2. Step 2: Convert to fraction form
    12,368.40/17,071.62 = 7,649.94/x
  3. Step 3: Cross multiply
    12,368.40x = 17,071.62 × 7,649.94
  4. Step 4: Simplify right side
    12,368.40x = 130,596,868.70
  5. Step 5: Solve for x
    x = 130,596,868.70/12,368.40
  6. Step 6: Final answer
    x = 10,558.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.