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Finding the Fourth Proportional to 9,825, 14,737.50 and 2,899.32

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Solution

The fourth proportional to 9,825, 14,737.50 and 2,899.32 is: 4,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825 : 14,737.50 = 2,899.32 : x
  2. Step 2: Convert to fraction form
    9,825/14,737.50 = 2,899.32/x
  3. Step 3: Cross multiply
    9,825x = 14,737.50 × 2,899.32
  4. Step 4: Simplify right side
    9,825x = 42,728,728.50
  5. Step 5: Solve for x
    x = 42,728,728.50/9,825
  6. Step 6: Final answer
    x = 4,348.98

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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.