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Finding the Fourth Proportional to 4,985.52, 7,478.01 and 1,522.50

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Solution

The fourth proportional to 4,985.52, 7,478.01 and 1,522.50 is: 2,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.52 : 7,478.01 = 1,522.50 : x
  2. Step 2: Convert to fraction form
    4,985.52/7,478.01 = 1,522.50/x
  3. Step 3: Cross multiply
    4,985.52x = 7,478.01 × 1,522.50
  4. Step 4: Simplify right side
    4,985.52x = 11,385,270.23
  5. Step 5: Solve for x
    x = 11,385,270.23/4,985.52
  6. Step 6: Final answer
    x = 2,283.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.