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Finding the Fourth Proportional to 20,653.79, 30,983.45 and 7,509.92

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Solution

The fourth proportional to 20,653.79, 30,983.45 and 7,509.92 is: 11,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,653.79 : 30,983.45 = 7,509.92 : x
  2. Step 2: Convert to fraction form
    20,653.79/30,983.45 = 7,509.92/x
  3. Step 3: Cross multiply
    20,653.79x = 30,983.45 × 7,509.92
  4. Step 4: Simplify right side
    20,653.79x = 232,683,038.36
  5. Step 5: Solve for x
    x = 232,683,038.36/20,653.79
  6. Step 6: Final answer
    x = 11,265.88

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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.