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Finding the Fourth Proportional to 8,762, 13,143 and 8,541.68

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Solution

The fourth proportional to 8,762, 13,143 and 8,541.68 is: 12,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762 : 13,143 = 8,541.68 : x
  2. Step 2: Convert to fraction form
    8,762/13,143 = 8,541.68/x
  3. Step 3: Cross multiply
    8,762x = 13,143 × 8,541.68
  4. Step 4: Simplify right side
    8,762x = 112,263,300.24
  5. Step 5: Solve for x
    x = 112,263,300.24/8,762
  6. Step 6: Final answer
    x = 12,812.52

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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.