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Finding the Fourth Proportional to 9,702.72, 13,389.84 and 5,454

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Solution

The fourth proportional to 9,702.72, 13,389.84 and 5,454 is: 7,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.72 : 13,389.84 = 5,454 : x
  2. Step 2: Convert to fraction form
    9,702.72/13,389.84 = 5,454/x
  3. Step 3: Cross multiply
    9,702.72x = 13,389.84 × 5,454
  4. Step 4: Simplify right side
    9,702.72x = 73,028,187.36
  5. Step 5: Solve for x
    x = 73,028,187.36/9,702.72
  6. Step 6: Final answer
    x = 7,526.57

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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.