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Finding the Fourth Proportional to 7,840.76, 11,762.76 and 2,646.56

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Solution

The fourth proportional to 7,840.76, 11,762.76 and 2,646.56 is: 3,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.76 : 11,762.76 = 2,646.56 : x
  2. Step 2: Convert to fraction form
    7,840.76/11,762.76 = 2,646.56/x
  3. Step 3: Cross multiply
    7,840.76x = 11,762.76 × 2,646.56
  4. Step 4: Simplify right side
    7,840.76x = 31,130,850.11
  5. Step 5: Solve for x
    x = 31,130,850.11/7,840.76
  6. Step 6: Final answer
    x = 3,970.39

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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.