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Finding the Fourth Proportional to 9,803, 13,528.14 and 5,387

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Solution

The fourth proportional to 9,803, 13,528.14 and 5,387 is: 7,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803 : 13,528.14 = 5,387 : x
  2. Step 2: Convert to fraction form
    9,803/13,528.14 = 5,387/x
  3. Step 3: Cross multiply
    9,803x = 13,528.14 × 5,387
  4. Step 4: Simplify right side
    9,803x = 72,876,090.18
  5. Step 5: Solve for x
    x = 72,876,090.18/9,803
  6. Step 6: Final answer
    x = 7,434.06

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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.