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Finding the Fourth Proportional to 6,602.12, 9,902.94 and 1,985

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Solution

The fourth proportional to 6,602.12, 9,902.94 and 1,985 is: 2,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.12 : 9,902.94 = 1,985 : x
  2. Step 2: Convert to fraction form
    6,602.12/9,902.94 = 1,985/x
  3. Step 3: Cross multiply
    6,602.12x = 9,902.94 × 1,985
  4. Step 4: Simplify right side
    6,602.12x = 19,657,335.90
  5. Step 5: Solve for x
    x = 19,657,335.90/6,602.12
  6. Step 6: Final answer
    x = 2,977.43

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Double scale
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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.