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Finding the Fourth Proportional to 9,901.74, 14,855.09 and 6,985.74

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Solution

The fourth proportional to 9,901.74, 14,855.09 and 6,985.74 is: 10,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.74 : 14,855.09 = 6,985.74 : x
  2. Step 2: Convert to fraction form
    9,901.74/14,855.09 = 6,985.74/x
  3. Step 3: Cross multiply
    9,901.74x = 14,855.09 × 6,985.74
  4. Step 4: Simplify right side
    9,901.74x = 103,773,761.49
  5. Step 5: Solve for x
    x = 103,773,761.49/9,901.74
  6. Step 6: Final answer
    x = 10,480.36

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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.