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Finding the Fourth Proportional to 9,880.94, 13,640.65 and 7,637.74

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Solution

The fourth proportional to 9,880.94, 13,640.65 and 7,637.74 is: 10,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.94 : 13,640.65 = 7,637.74 : x
  2. Step 2: Convert to fraction form
    9,880.94/13,640.65 = 7,637.74/x
  3. Step 3: Cross multiply
    9,880.94x = 13,640.65 × 7,637.74
  4. Step 4: Simplify right side
    9,880.94x = 104,183,738.13
  5. Step 5: Solve for x
    x = 104,183,738.13/9,880.94
  6. Step 6: Final answer
    x = 10,543.91

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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.