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Finding the Fourth Proportional to 10,703.35, 14,784.74 and 8,216.19

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Solution

The fourth proportional to 10,703.35, 14,784.74 and 8,216.19 is: 11,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.35 : 14,784.74 = 8,216.19 : x
  2. Step 2: Convert to fraction form
    10,703.35/14,784.74 = 8,216.19/x
  3. Step 3: Cross multiply
    10,703.35x = 14,784.74 × 8,216.19
  4. Step 4: Simplify right side
    10,703.35x = 121,474,232.94
  5. Step 5: Solve for x
    x = 121,474,232.94/10,703.35
  6. Step 6: Final answer
    x = 11,349.18

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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.