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Finding the Fourth Proportional to 9,684.12, 13,364.16 and 5,492.40

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Solution

The fourth proportional to 9,684.12, 13,364.16 and 5,492.40 is: 7,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.12 : 13,364.16 = 5,492.40 : x
  2. Step 2: Convert to fraction form
    9,684.12/13,364.16 = 5,492.40/x
  3. Step 3: Cross multiply
    9,684.12x = 13,364.16 × 5,492.40
  4. Step 4: Simplify right side
    9,684.12x = 73,401,312.38
  5. Step 5: Solve for x
    x = 73,401,312.38/9,684.12
  6. Step 6: Final answer
    x = 7,579.55

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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.