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Finding the Fourth Proportional to 11,978.81, 16,529.40 and 6,941.99

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Solution

The fourth proportional to 11,978.81, 16,529.40 and 6,941.99 is: 9,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.81 : 16,529.40 = 6,941.99 : x
  2. Step 2: Convert to fraction form
    11,978.81/16,529.40 = 6,941.99/x
  3. Step 3: Cross multiply
    11,978.81x = 16,529.40 × 6,941.99
  4. Step 4: Simplify right side
    11,978.81x = 114,746,929.51
  5. Step 5: Solve for x
    x = 114,746,929.51/11,978.81
  6. Step 6: Final answer
    x = 9,579.16

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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.