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Finding the Fourth Proportional to 8,378, 11,565.58 and 4,840.53

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Solution

The fourth proportional to 8,378, 11,565.58 and 4,840.53 is: 6,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378 : 11,565.58 = 4,840.53 : x
  2. Step 2: Convert to fraction form
    8,378/11,565.58 = 4,840.53/x
  3. Step 3: Cross multiply
    8,378x = 11,565.58 × 4,840.53
  4. Step 4: Simplify right side
    8,378x = 55,983,536.96
  5. Step 5: Solve for x
    x = 55,983,536.96/8,378
  6. Step 6: Final answer
    x = 6,682.21

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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.