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Finding the Fourth Proportional to 8,426, 11,627.88 and 5,632.40

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Solution

The fourth proportional to 8,426, 11,627.88 and 5,632.40 is: 7,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426 : 11,627.88 = 5,632.40 : x
  2. Step 2: Convert to fraction form
    8,426/11,627.88 = 5,632.40/x
  3. Step 3: Cross multiply
    8,426x = 11,627.88 × 5,632.40
  4. Step 4: Simplify right side
    8,426x = 65,492,871.31
  5. Step 5: Solve for x
    x = 65,492,871.31/8,426
  6. Step 6: Final answer
    x = 7,772.71

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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.