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Finding the Fourth Proportional to 6,472.88, 9,707.28 and 2,089.28

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Solution

The fourth proportional to 6,472.88, 9,707.28 and 2,089.28 is: 3,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.88 : 9,707.28 = 2,089.28 : x
  2. Step 2: Convert to fraction form
    6,472.88/9,707.28 = 2,089.28/x
  3. Step 3: Cross multiply
    6,472.88x = 9,707.28 × 2,089.28
  4. Step 4: Simplify right side
    6,472.88x = 20,281,225.96
  5. Step 5: Solve for x
    x = 20,281,225.96/6,472.88
  6. Step 6: Final answer
    x = 3,133.26

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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.