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Finding the Fourth Proportional to 8,315.40, 11,474.28 and 4,958.40

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Solution

The fourth proportional to 8,315.40, 11,474.28 and 4,958.40 is: 6,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.40 : 11,474.28 = 4,958.40 : x
  2. Step 2: Convert to fraction form
    8,315.40/11,474.28 = 4,958.40/x
  3. Step 3: Cross multiply
    8,315.40x = 11,474.28 × 4,958.40
  4. Step 4: Simplify right side
    8,315.40x = 56,894,069.95
  5. Step 5: Solve for x
    x = 56,894,069.95/8,315.40
  6. Step 6: Final answer
    x = 6,842.01

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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.