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Finding the Fourth Proportional to 8,586.40, 11,839.84 and 7,457.36

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Solution

The fourth proportional to 8,586.40, 11,839.84 and 7,457.36 is: 10,283.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.40 : 11,839.84 = 7,457.36 : x
  2. Step 2: Convert to fraction form
    8,586.40/11,839.84 = 7,457.36/x
  3. Step 3: Cross multiply
    8,586.40x = 11,839.84 × 7,457.36
  4. Step 4: Simplify right side
    8,586.40x = 88,293,949.22
  5. Step 5: Solve for x
    x = 88,293,949.22/8,586.40
  6. Step 6: Final answer
    x = 10,283.00

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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.