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Finding the Fourth Proportional to 8,722, 13,075.71 and 4,045.35

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Solution

The fourth proportional to 8,722, 13,075.71 and 4,045.35 is: 6,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722 : 13,075.71 = 4,045.35 : x
  2. Step 2: Convert to fraction form
    8,722/13,075.71 = 4,045.35/x
  3. Step 3: Cross multiply
    8,722x = 13,075.71 × 4,045.35
  4. Step 4: Simplify right side
    8,722x = 52,895,823.45
  5. Step 5: Solve for x
    x = 52,895,823.45/8,722
  6. Step 6: Final answer
    x = 6,064.64

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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.