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Finding the Fourth Proportional to 14,013.16, 21,021.90 and 4,777

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Solution

The fourth proportional to 14,013.16, 21,021.90 and 4,777 is: 7,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013.16 : 21,021.90 = 4,777 : x
  2. Step 2: Convert to fraction form
    14,013.16/21,021.90 = 4,777/x
  3. Step 3: Cross multiply
    14,013.16x = 21,021.90 × 4,777
  4. Step 4: Simplify right side
    14,013.16x = 100,421,616.30
  5. Step 5: Solve for x
    x = 100,421,616.30/14,013.16
  6. Step 6: Final answer
    x = 7,166.24

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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.