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Finding the Fourth Proportional to 13,678.43, 18,875.98 and 7,709.99

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Solution

The fourth proportional to 13,678.43, 18,875.98 and 7,709.99 is: 10,639.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.43 : 18,875.98 = 7,709.99 : x
  2. Step 2: Convert to fraction form
    13,678.43/18,875.98 = 7,709.99/x
  3. Step 3: Cross multiply
    13,678.43x = 18,875.98 × 7,709.99
  4. Step 4: Simplify right side
    13,678.43x = 145,533,503.39
  5. Step 5: Solve for x
    x = 145,533,503.39/13,678.43
  6. Step 6: Final answer
    x = 10,639.63

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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.