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Finding the Fourth Proportional to 8,762.14, 13,145.64 and 4,869.28

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Solution

The fourth proportional to 8,762.14, 13,145.64 and 4,869.28 is: 7,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.14 : 13,145.64 = 4,869.28 : x
  2. Step 2: Convert to fraction form
    8,762.14/13,145.64 = 4,869.28/x
  3. Step 3: Cross multiply
    8,762.14x = 13,145.64 × 4,869.28
  4. Step 4: Simplify right side
    8,762.14x = 64,009,801.94
  5. Step 5: Solve for x
    x = 64,009,801.94/8,762.14
  6. Step 6: Final answer
    x = 7,305.27

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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.