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Finding the Fourth Proportional to 13,480.84, 18,602.76 and 7,815.16

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Solution

The fourth proportional to 13,480.84, 18,602.76 and 7,815.16 is: 10,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480.84 : 18,602.76 = 7,815.16 : x
  2. Step 2: Convert to fraction form
    13,480.84/18,602.76 = 7,815.16/x
  3. Step 3: Cross multiply
    13,480.84x = 18,602.76 × 7,815.16
  4. Step 4: Simplify right side
    13,480.84x = 145,383,545.84
  5. Step 5: Solve for x
    x = 145,383,545.84/13,480.84
  6. Step 6: Final answer
    x = 10,784.46

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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.