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Finding the Fourth Proportional to 8,019.84, 12,021.12 and 5,237.76

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Solution

The fourth proportional to 8,019.84, 12,021.12 and 5,237.76 is: 7,851.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.84 : 12,021.12 = 5,237.76 : x
  2. Step 2: Convert to fraction form
    8,019.84/12,021.12 = 5,237.76/x
  3. Step 3: Cross multiply
    8,019.84x = 12,021.12 × 5,237.76
  4. Step 4: Simplify right side
    8,019.84x = 62,963,741.49
  5. Step 5: Solve for x
    x = 62,963,741.49/8,019.84
  6. Step 6: Final answer
    x = 7,851.00

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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.