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Finding the Fourth Proportional to 14,277.76, 21,412.53 and 4,917.40

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Solution

The fourth proportional to 14,277.76, 21,412.53 and 4,917.40 is: 7,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277.76 : 21,412.53 = 4,917.40 : x
  2. Step 2: Convert to fraction form
    14,277.76/21,412.53 = 4,917.40/x
  3. Step 3: Cross multiply
    14,277.76x = 21,412.53 × 4,917.40
  4. Step 4: Simplify right side
    14,277.76x = 105,293,975.02
  5. Step 5: Solve for x
    x = 105,293,975.02/14,277.76
  6. Step 6: Final answer
    x = 7,374.68

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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.