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Finding the Fourth Proportional to 7,812.54, 10,783.12 and 4,788.58

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Solution

The fourth proportional to 7,812.54, 10,783.12 and 4,788.58 is: 6,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.54 : 10,783.12 = 4,788.58 : x
  2. Step 2: Convert to fraction form
    7,812.54/10,783.12 = 4,788.58/x
  3. Step 3: Cross multiply
    7,812.54x = 10,783.12 × 4,788.58
  4. Step 4: Simplify right side
    7,812.54x = 51,635,832.77
  5. Step 5: Solve for x
    x = 51,635,832.77/7,812.54
  6. Step 6: Final answer
    x = 6,609.35

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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.