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Finding the Fourth Proportional to 14,402, 19,874.76 and 7,778

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Solution

The fourth proportional to 14,402, 19,874.76 and 7,778 is: 10,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402 : 19,874.76 = 7,778 : x
  2. Step 2: Convert to fraction form
    14,402/19,874.76 = 7,778/x
  3. Step 3: Cross multiply
    14,402x = 19,874.76 × 7,778
  4. Step 4: Simplify right side
    14,402x = 154,585,883.28
  5. Step 5: Solve for x
    x = 154,585,883.28/14,402
  6. Step 6: Final answer
    x = 10,733.64

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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.