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Finding the Fourth Proportional to 9,677, 14,515.50 and 4,205

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Solution

The fourth proportional to 9,677, 14,515.50 and 4,205 is: 6,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677 : 14,515.50 = 4,205 : x
  2. Step 2: Convert to fraction form
    9,677/14,515.50 = 4,205/x
  3. Step 3: Cross multiply
    9,677x = 14,515.50 × 4,205
  4. Step 4: Simplify right side
    9,677x = 61,037,677.50
  5. Step 5: Solve for x
    x = 61,037,677.50/9,677
  6. Step 6: Final answer
    x = 6,307.50

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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.