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Finding the Fourth Proportional to 8,750.42, 12,075.65 and 4,771.50

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Solution

The fourth proportional to 8,750.42, 12,075.65 and 4,771.50 is: 6,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,750.42 : 12,075.65 = 4,771.50 : x
  2. Step 2: Convert to fraction form
    8,750.42/12,075.65 = 4,771.50/x
  3. Step 3: Cross multiply
    8,750.42x = 12,075.65 × 4,771.50
  4. Step 4: Simplify right side
    8,750.42x = 57,618,963.98
  5. Step 5: Solve for x
    x = 57,618,963.98/8,750.42
  6. Step 6: Final answer
    x = 6,584.71

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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.