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Finding the Fourth Proportional to 14,407, 19,881.66 and 7,783

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Solution

The fourth proportional to 14,407, 19,881.66 and 7,783 is: 10,740.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407 : 19,881.66 = 7,783 : x
  2. Step 2: Convert to fraction form
    14,407/19,881.66 = 7,783/x
  3. Step 3: Cross multiply
    14,407x = 19,881.66 × 7,783
  4. Step 4: Simplify right side
    14,407x = 154,738,959.78
  5. Step 5: Solve for x
    x = 154,738,959.78/14,407
  6. Step 6: Final answer
    x = 10,740.54

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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.