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Finding the Fourth Proportional to 8,283, 11,430.60 and 4,557

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Solution

The fourth proportional to 8,283, 11,430.60 and 4,557 is: 6,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283 : 11,430.60 = 4,557 : x
  2. Step 2: Convert to fraction form
    8,283/11,430.60 = 4,557/x
  3. Step 3: Cross multiply
    8,283x = 11,430.60 × 4,557
  4. Step 4: Simplify right side
    8,283x = 52,089,244.20
  5. Step 5: Solve for x
    x = 52,089,244.20/8,283
  6. Step 6: Final answer
    x = 6,288.69

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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.