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Finding the Fourth Proportional to 13,706.40, 20,547.60 and 9,309.60

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Solution

The fourth proportional to 13,706.40, 20,547.60 and 9,309.60 is: 13,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.40 : 20,547.60 = 9,309.60 : x
  2. Step 2: Convert to fraction form
    13,706.40/20,547.60 = 9,309.60/x
  3. Step 3: Cross multiply
    13,706.40x = 20,547.60 × 9,309.60
  4. Step 4: Simplify right side
    13,706.40x = 191,289,936.96
  5. Step 5: Solve for x
    x = 191,289,936.96/13,706.40
  6. Step 6: Final answer
    x = 13,956.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.