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Finding the Fourth Proportional to 11,500.36, 15,870 and 7,031.56

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Solution

The fourth proportional to 11,500.36, 15,870 and 7,031.56 is: 9,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.36 : 15,870 = 7,031.56 : x
  2. Step 2: Convert to fraction form
    11,500.36/15,870 = 7,031.56/x
  3. Step 3: Cross multiply
    11,500.36x = 15,870 × 7,031.56
  4. Step 4: Simplify right side
    11,500.36x = 111,590,857.20
  5. Step 5: Solve for x
    x = 111,590,857.20/11,500.36
  6. Step 6: Final answer
    x = 9,703.25

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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.