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Finding the Fourth Proportional to 14,018.16, 21,029.76 and 4,782

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Solution

The fourth proportional to 14,018.16, 21,029.76 and 4,782 is: 7,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,018.16 : 21,029.76 = 4,782 : x
  2. Step 2: Convert to fraction form
    14,018.16/21,029.76 = 4,782/x
  3. Step 3: Cross multiply
    14,018.16x = 21,029.76 × 4,782
  4. Step 4: Simplify right side
    14,018.16x = 100,564,312.32
  5. Step 5: Solve for x
    x = 100,564,312.32/14,018.16
  6. Step 6: Final answer
    x = 7,173.86

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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.