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Finding the Fourth Proportional to 9,803, 14,704.50 and 2,877.50

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Solution

The fourth proportional to 9,803, 14,704.50 and 2,877.50 is: 4,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803 : 14,704.50 = 2,877.50 : x
  2. Step 2: Convert to fraction form
    9,803/14,704.50 = 2,877.50/x
  3. Step 3: Cross multiply
    9,803x = 14,704.50 × 2,877.50
  4. Step 4: Simplify right side
    9,803x = 42,312,198.75
  5. Step 5: Solve for x
    x = 42,312,198.75/9,803
  6. Step 6: Final answer
    x = 4,316.25

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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.