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Finding the Fourth Proportional to 13,707.02, 18,915.42 and 8,991

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Solution

The fourth proportional to 13,707.02, 18,915.42 and 8,991 is: 12,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.02 : 18,915.42 = 8,991 : x
  2. Step 2: Convert to fraction form
    13,707.02/18,915.42 = 8,991/x
  3. Step 3: Cross multiply
    13,707.02x = 18,915.42 × 8,991
  4. Step 4: Simplify right side
    13,707.02x = 170,068,574.94
  5. Step 5: Solve for x
    x = 170,068,574.94/13,707.02
  6. Step 6: Final answer
    x = 12,407.40

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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.