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Finding the Fourth Proportional to 8,501.76, 12,739.68 and 5,916.24

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Solution

The fourth proportional to 8,501.76, 12,739.68 and 5,916.24 is: 8,865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.76 : 12,739.68 = 5,916.24 : x
  2. Step 2: Convert to fraction form
    8,501.76/12,739.68 = 5,916.24/x
  3. Step 3: Cross multiply
    8,501.76x = 12,739.68 × 5,916.24
  4. Step 4: Simplify right side
    8,501.76x = 75,371,004.40
  5. Step 5: Solve for x
    x = 75,371,004.40/8,501.76
  6. Step 6: Final answer
    x = 8,865.34

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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.