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Finding the Fourth Proportional to 55,313.64, 82,970.76 and 13,760.64

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Solution

The fourth proportional to 55,313.64, 82,970.76 and 13,760.64 is: 20,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,313.64 : 82,970.76 = 13,760.64 : x
  2. Step 2: Convert to fraction form
    55,313.64/82,970.76 = 13,760.64/x
  3. Step 3: Cross multiply
    55,313.64x = 82,970.76 × 13,760.64
  4. Step 4: Simplify right side
    55,313.64x = 1,141,730,758.89
  5. Step 5: Solve for x
    x = 1,141,730,758.89/55,313.64
  6. Step 6: Final answer
    x = 20,641.03

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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.