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Finding the Fourth Proportional to 9,916.50, 13,702.88 and 7,223.03

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Solution

The fourth proportional to 9,916.50, 13,702.88 and 7,223.03 is: 9,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.50 : 13,702.88 = 7,223.03 : x
  2. Step 2: Convert to fraction form
    9,916.50/13,702.88 = 7,223.03/x
  3. Step 3: Cross multiply
    9,916.50x = 13,702.88 × 7,223.03
  4. Step 4: Simplify right side
    9,916.50x = 98,976,313.33
  5. Step 5: Solve for x
    x = 98,976,313.33/9,916.50
  6. Step 6: Final answer
    x = 9,980.97

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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.