Home / 8,024-12,030.54-4,905.08

Finding the Fourth Proportional to 8,024, 12,030.54 and 4,905.08

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Solution

The fourth proportional to 8,024, 12,030.54 and 4,905.08 is: 7,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024 : 12,030.54 = 4,905.08 : x
  2. Step 2: Convert to fraction form
    8,024/12,030.54 = 4,905.08/x
  3. Step 3: Cross multiply
    8,024x = 12,030.54 × 4,905.08
  4. Step 4: Simplify right side
    8,024x = 59,010,761.14
  5. Step 5: Solve for x
    x = 59,010,761.14/8,024
  6. Step 6: Final answer
    x = 7,354.28

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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.