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Finding the Fourth Proportional to 10,782.60, 14,842.08 and 9,645.36

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Solution

The fourth proportional to 10,782.60, 14,842.08 and 9,645.36 is: 13,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.60 : 14,842.08 = 9,645.36 : x
  2. Step 2: Convert to fraction form
    10,782.60/14,842.08 = 9,645.36/x
  3. Step 3: Cross multiply
    10,782.60x = 14,842.08 × 9,645.36
  4. Step 4: Simplify right side
    10,782.60x = 143,157,204.75
  5. Step 5: Solve for x
    x = 143,157,204.75/10,782.60
  6. Step 6: Final answer
    x = 13,276.69

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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.