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Finding the Fourth Proportional to 13,632, 18,811.98 and 7,582.20

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Solution

The fourth proportional to 13,632, 18,811.98 and 7,582.20 is: 10,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632 : 18,811.98 = 7,582.20 : x
  2. Step 2: Convert to fraction form
    13,632/18,811.98 = 7,582.20/x
  3. Step 3: Cross multiply
    13,632x = 18,811.98 × 7,582.20
  4. Step 4: Simplify right side
    13,632x = 142,636,194.76
  5. Step 5: Solve for x
    x = 142,636,194.76/13,632
  6. Step 6: Final answer
    x = 10,463.34

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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.