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Finding the Fourth Proportional to 5,715, 7,889.94 and 4,315.32

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Solution

The fourth proportional to 5,715, 7,889.94 and 4,315.32 is: 5,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715 : 7,889.94 = 4,315.32 : x
  2. Step 2: Convert to fraction form
    5,715/7,889.94 = 4,315.32/x
  3. Step 3: Cross multiply
    5,715x = 7,889.94 × 4,315.32
  4. Step 4: Simplify right side
    5,715x = 34,047,615.88
  5. Step 5: Solve for x
    x = 34,047,615.88/5,715
  6. Step 6: Final answer
    x = 5,957.59

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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.