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Finding the Fourth Proportional to 7,676.96, 10,586.28 and 7,230.40

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Solution

The fourth proportional to 7,676.96, 10,586.28 and 7,230.40 is: 9,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.96 : 10,586.28 = 7,230.40 : x
  2. Step 2: Convert to fraction form
    7,676.96/10,586.28 = 7,230.40/x
  3. Step 3: Cross multiply
    7,676.96x = 10,586.28 × 7,230.40
  4. Step 4: Simplify right side
    7,676.96x = 76,543,038.91
  5. Step 5: Solve for x
    x = 76,543,038.91/7,676.96
  6. Step 6: Final answer
    x = 9,970.49

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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.