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Finding the Fourth Proportional to 8,047.90, 12,073.65 and 3,117.10

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Solution

The fourth proportional to 8,047.90, 12,073.65 and 3,117.10 is: 4,676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.90 : 12,073.65 = 3,117.10 : x
  2. Step 2: Convert to fraction form
    8,047.90/12,073.65 = 3,117.10/x
  3. Step 3: Cross multiply
    8,047.90x = 12,073.65 × 3,117.10
  4. Step 4: Simplify right side
    8,047.90x = 37,634,774.42
  5. Step 5: Solve for x
    x = 37,634,774.42/8,047.90
  6. Step 6: Final answer
    x = 4,676.35

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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.