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Finding the Fourth Proportional to 7,954.75, 10,977.56 and 4,642.75

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Solution

The fourth proportional to 7,954.75, 10,977.56 and 4,642.75 is: 6,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.75 : 10,977.56 = 4,642.75 : x
  2. Step 2: Convert to fraction form
    7,954.75/10,977.56 = 4,642.75/x
  3. Step 3: Cross multiply
    7,954.75x = 10,977.56 × 4,642.75
  4. Step 4: Simplify right side
    7,954.75x = 50,966,066.69
  5. Step 5: Solve for x
    x = 50,966,066.69/7,954.75
  6. Step 6: Final answer
    x = 6,407.00

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1.5x scale

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.