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Finding the Fourth Proportional to 10,878.58, 16,291.16 and 5,313.99

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Solution

The fourth proportional to 10,878.58, 16,291.16 and 5,313.99 is: 7,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.58 : 16,291.16 = 5,313.99 : x
  2. Step 2: Convert to fraction form
    10,878.58/16,291.16 = 5,313.99/x
  3. Step 3: Cross multiply
    10,878.58x = 16,291.16 × 5,313.99
  4. Step 4: Simplify right side
    10,878.58x = 86,570,953.30
  5. Step 5: Solve for x
    x = 86,570,953.30/10,878.58
  6. Step 6: Final answer
    x = 7,957.93

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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.