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Finding the Fourth Proportional to 14,507, 20,019.78 and 7,883

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Solution

The fourth proportional to 14,507, 20,019.78 and 7,883 is: 10,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507 : 20,019.78 = 7,883 : x
  2. Step 2: Convert to fraction form
    14,507/20,019.78 = 7,883/x
  3. Step 3: Cross multiply
    14,507x = 20,019.78 × 7,883
  4. Step 4: Simplify right side
    14,507x = 157,815,925.74
  5. Step 5: Solve for x
    x = 157,815,925.74/14,507
  6. Step 6: Final answer
    x = 10,878.61

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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.