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Finding the Fourth Proportional to 11,368, 15,690.40 and 7,393.60

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Solution

The fourth proportional to 11,368, 15,690.40 and 7,393.60 is: 10,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368 : 15,690.40 = 7,393.60 : x
  2. Step 2: Convert to fraction form
    11,368/15,690.40 = 7,393.60/x
  3. Step 3: Cross multiply
    11,368x = 15,690.40 × 7,393.60
  4. Step 4: Simplify right side
    11,368x = 116,008,541.44
  5. Step 5: Solve for x
    x = 116,008,541.44/11,368
  6. Step 6: Final answer
    x = 10,204.83

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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.