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Finding the Fourth Proportional to 13,569.82, 18,707.08 and 9,978.46

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Solution

The fourth proportional to 13,569.82, 18,707.08 and 9,978.46 is: 13,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569.82 : 18,707.08 = 9,978.46 : x
  2. Step 2: Convert to fraction form
    13,569.82/18,707.08 = 9,978.46/x
  3. Step 3: Cross multiply
    13,569.82x = 18,707.08 × 9,978.46
  4. Step 4: Simplify right side
    13,569.82x = 186,667,849.50
  5. Step 5: Solve for x
    x = 186,667,849.50/13,569.82
  6. Step 6: Final answer
    x = 13,756.10

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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.