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Finding the Fourth Proportional to 8,434.56, 11,642.16 and 4,899.36

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Solution

The fourth proportional to 8,434.56, 11,642.16 and 4,899.36 is: 6,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.56 : 11,642.16 = 4,899.36 : x
  2. Step 2: Convert to fraction form
    8,434.56/11,642.16 = 4,899.36/x
  3. Step 3: Cross multiply
    8,434.56x = 11,642.16 × 4,899.36
  4. Step 4: Simplify right side
    8,434.56x = 57,039,133.02
  5. Step 5: Solve for x
    x = 57,039,133.02/8,434.56
  6. Step 6: Final answer
    x = 6,762.55

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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.