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Finding the Fourth Proportional to 7,642.64, 10,545 and 4,847.12

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Solution

The fourth proportional to 7,642.64, 10,545 and 4,847.12 is: 6,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.64 : 10,545 = 4,847.12 : x
  2. Step 2: Convert to fraction form
    7,642.64/10,545 = 4,847.12/x
  3. Step 3: Cross multiply
    7,642.64x = 10,545 × 4,847.12
  4. Step 4: Simplify right side
    7,642.64x = 51,112,880.40
  5. Step 5: Solve for x
    x = 51,112,880.40/7,642.64
  6. Step 6: Final answer
    x = 6,687.86

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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.