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Finding the Fourth Proportional to 9,094.50, 13,642.47 and 2,938.50

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Solution

The fourth proportional to 9,094.50, 13,642.47 and 2,938.50 is: 4,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.50 : 13,642.47 = 2,938.50 : x
  2. Step 2: Convert to fraction form
    9,094.50/13,642.47 = 2,938.50/x
  3. Step 3: Cross multiply
    9,094.50x = 13,642.47 × 2,938.50
  4. Step 4: Simplify right side
    9,094.50x = 40,088,398.10
  5. Step 5: Solve for x
    x = 40,088,398.10/9,094.50
  6. Step 6: Final answer
    x = 4,407.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.