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Finding the Fourth Proportional to 10,666.66, 15,976.88 and 7,738.50

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Solution

The fourth proportional to 10,666.66, 15,976.88 and 7,738.50 is: 11,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.66 : 15,976.88 = 7,738.50 : x
  2. Step 2: Convert to fraction form
    10,666.66/15,976.88 = 7,738.50/x
  3. Step 3: Cross multiply
    10,666.66x = 15,976.88 × 7,738.50
  4. Step 4: Simplify right side
    10,666.66x = 123,637,085.88
  5. Step 5: Solve for x
    x = 123,637,085.88/10,666.66
  6. Step 6: Final answer
    x = 11,590.98

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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.