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Finding the Fourth Proportional to 8,532, 11,774.28 and 5,220

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Solution

The fourth proportional to 8,532, 11,774.28 and 5,220 is: 7,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532 : 11,774.28 = 5,220 : x
  2. Step 2: Convert to fraction form
    8,532/11,774.28 = 5,220/x
  3. Step 3: Cross multiply
    8,532x = 11,774.28 × 5,220
  4. Step 4: Simplify right side
    8,532x = 61,461,741.60
  5. Step 5: Solve for x
    x = 61,461,741.60/8,532
  6. Step 6: Final answer
    x = 7,203.67

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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.