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Finding the Fourth Proportional to 4,992.40, 7,478.70 and 4,376.80

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Solution

The fourth proportional to 4,992.40, 7,478.70 and 4,376.80 is: 6,556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.40 : 7,478.70 = 4,376.80 : x
  2. Step 2: Convert to fraction form
    4,992.40/7,478.70 = 4,376.80/x
  3. Step 3: Cross multiply
    4,992.40x = 7,478.70 × 4,376.80
  4. Step 4: Simplify right side
    4,992.40x = 32,732,774.16
  5. Step 5: Solve for x
    x = 32,732,774.16/4,992.40
  6. Step 6: Final answer
    x = 6,556.52

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1.5x scale

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.