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Finding the Fourth Proportional to 8,739, 12,056.40 and 5,756.40

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Solution

The fourth proportional to 8,739, 12,056.40 and 5,756.40 is: 7,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739 : 12,056.40 = 5,756.40 : x
  2. Step 2: Convert to fraction form
    8,739/12,056.40 = 5,756.40/x
  3. Step 3: Cross multiply
    8,739x = 12,056.40 × 5,756.40
  4. Step 4: Simplify right side
    8,739x = 69,401,460.96
  5. Step 5: Solve for x
    x = 69,401,460.96/8,739
  6. Step 6: Final answer
    x = 7,941.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.