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Finding the Fourth Proportional to 10,898.94, 15,052.80 and 7,356

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Solution

The fourth proportional to 10,898.94, 15,052.80 and 7,356 is: 10,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.94 : 15,052.80 = 7,356 : x
  2. Step 2: Convert to fraction form
    10,898.94/15,052.80 = 7,356/x
  3. Step 3: Cross multiply
    10,898.94x = 15,052.80 × 7,356
  4. Step 4: Simplify right side
    10,898.94x = 110,728,396.80
  5. Step 5: Solve for x
    x = 110,728,396.80/10,898.94
  6. Step 6: Final answer
    x = 10,159.56

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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.