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Finding the Fourth Proportional to 8,580.48, 12,896.64 and 7,543.68

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Solution

The fourth proportional to 8,580.48, 12,896.64 and 7,543.68 is: 11,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.48 : 12,896.64 = 7,543.68 : x
  2. Step 2: Convert to fraction form
    8,580.48/12,896.64 = 7,543.68/x
  3. Step 3: Cross multiply
    8,580.48x = 12,896.64 × 7,543.68
  4. Step 4: Simplify right side
    8,580.48x = 97,288,125.24
  5. Step 5: Solve for x
    x = 97,288,125.24/8,580.48
  6. Step 6: Final answer
    x = 11,338.31

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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.