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Finding the Fourth Proportional to 11,496, 15,871.92 and 8,973.76

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Solution

The fourth proportional to 11,496, 15,871.92 and 8,973.76 is: 12,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496 : 15,871.92 = 8,973.76 : x
  2. Step 2: Convert to fraction form
    11,496/15,871.92 = 8,973.76/x
  3. Step 3: Cross multiply
    11,496x = 15,871.92 × 8,973.76
  4. Step 4: Simplify right side
    11,496x = 142,430,800.82
  5. Step 5: Solve for x
    x = 142,430,800.82/11,496
  6. Step 6: Final answer
    x = 12,389.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.