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Finding the Fourth Proportional to 10,077.64, 13,909.40 and 5,602.96

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Solution

The fourth proportional to 10,077.64, 13,909.40 and 5,602.96 is: 7,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.64 : 13,909.40 = 5,602.96 : x
  2. Step 2: Convert to fraction form
    10,077.64/13,909.40 = 5,602.96/x
  3. Step 3: Cross multiply
    10,077.64x = 13,909.40 × 5,602.96
  4. Step 4: Simplify right side
    10,077.64x = 77,933,811.82
  5. Step 5: Solve for x
    x = 77,933,811.82/10,077.64
  6. Step 6: Final answer
    x = 7,733.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.