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Finding the Fourth Proportional to 9,803, 13,528.74 and 5,554.46

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Solution

The fourth proportional to 9,803, 13,528.74 and 5,554.46 is: 7,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803 : 13,528.74 = 5,554.46 : x
  2. Step 2: Convert to fraction form
    9,803/13,528.74 = 5,554.46/x
  3. Step 3: Cross multiply
    9,803x = 13,528.74 × 5,554.46
  4. Step 4: Simplify right side
    9,803x = 75,144,845.18
  5. Step 5: Solve for x
    x = 75,144,845.18/9,803
  6. Step 6: Final answer
    x = 7,665.49

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1.5x scale

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.