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Finding the Fourth Proportional to 9,549.78, 13,178.64 and 5,358

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Solution

The fourth proportional to 9,549.78, 13,178.64 and 5,358 is: 7,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.78 : 13,178.64 = 5,358 : x
  2. Step 2: Convert to fraction form
    9,549.78/13,178.64 = 5,358/x
  3. Step 3: Cross multiply
    9,549.78x = 13,178.64 × 5,358
  4. Step 4: Simplify right side
    9,549.78x = 70,611,153.12
  5. Step 5: Solve for x
    x = 70,611,153.12/9,549.78
  6. Step 6: Final answer
    x = 7,394.01

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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.