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Finding the Fourth Proportional to 11,590, 15,988.30 and 7,333.88

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Solution

The fourth proportional to 11,590, 15,988.30 and 7,333.88 is: 10,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590 : 15,988.30 = 7,333.88 : x
  2. Step 2: Convert to fraction form
    11,590/15,988.30 = 7,333.88/x
  3. Step 3: Cross multiply
    11,590x = 15,988.30 × 7,333.88
  4. Step 4: Simplify right side
    11,590x = 117,256,273.60
  5. Step 5: Solve for x
    x = 117,256,273.60/11,590
  6. Step 6: Final answer
    x = 10,117.02

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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.