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Finding the Fourth Proportional to 8,635.30, 12,953.16 and 6,457.85

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Solution

The fourth proportional to 8,635.30, 12,953.16 and 6,457.85 is: 9,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.30 : 12,953.16 = 6,457.85 : x
  2. Step 2: Convert to fraction form
    8,635.30/12,953.16 = 6,457.85/x
  3. Step 3: Cross multiply
    8,635.30x = 12,953.16 × 6,457.85
  4. Step 4: Simplify right side
    8,635.30x = 83,649,564.31
  5. Step 5: Solve for x
    x = 83,649,564.31/8,635.30
  6. Step 6: Final answer
    x = 9,686.93

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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.