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Finding the Fourth Proportional to 15,697.12, 21,656.46 and 8,977.84

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Solution

The fourth proportional to 15,697.12, 21,656.46 and 8,977.84 is: 12,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.12 : 21,656.46 = 8,977.84 : x
  2. Step 2: Convert to fraction form
    15,697.12/21,656.46 = 8,977.84/x
  3. Step 3: Cross multiply
    15,697.12x = 21,656.46 × 8,977.84
  4. Step 4: Simplify right side
    15,697.12x = 194,428,232.85
  5. Step 5: Solve for x
    x = 194,428,232.85/15,697.12
  6. Step 6: Final answer
    x = 12,386.24

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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.