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Finding the Fourth Proportional to 9,794.50, 14,681.68 and 3,868.98

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Solution

The fourth proportional to 9,794.50, 14,681.68 and 3,868.98 is: 5,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.50 : 14,681.68 = 3,868.98 : x
  2. Step 2: Convert to fraction form
    9,794.50/14,681.68 = 3,868.98/x
  3. Step 3: Cross multiply
    9,794.50x = 14,681.68 × 3,868.98
  4. Step 4: Simplify right side
    9,794.50x = 56,803,126.29
  5. Step 5: Solve for x
    x = 56,803,126.29/9,794.50
  6. Step 6: Final answer
    x = 5,799.49

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1.5x scale

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.