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Finding the Fourth Proportional to 10,832.64, 14,917.60 and 9,640.32

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Solution

The fourth proportional to 10,832.64, 14,917.60 and 9,640.32 is: 13,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.64 : 14,917.60 = 9,640.32 : x
  2. Step 2: Convert to fraction form
    10,832.64/14,917.60 = 9,640.32/x
  3. Step 3: Cross multiply
    10,832.64x = 14,917.60 × 9,640.32
  4. Step 4: Simplify right side
    10,832.64x = 143,810,437.63
  5. Step 5: Solve for x
    x = 143,810,437.63/10,832.64
  6. Step 6: Final answer
    x = 13,275.66

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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.