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Finding the Fourth Proportional to 7,086.51, 9,757.08 and 6,430.41

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Solution

The fourth proportional to 7,086.51, 9,757.08 and 6,430.41 is: 8,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.51 : 9,757.08 = 6,430.41 : x
  2. Step 2: Convert to fraction form
    7,086.51/9,757.08 = 6,430.41/x
  3. Step 3: Cross multiply
    7,086.51x = 9,757.08 × 6,430.41
  4. Step 4: Simplify right side
    7,086.51x = 62,742,024.80
  5. Step 5: Solve for x
    x = 62,742,024.80/7,086.51
  6. Step 6: Final answer
    x = 8,853.73

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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.