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Finding the Fourth Proportional to 10,492.88, 14,480.24 and 5,777.19

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Solution

The fourth proportional to 10,492.88, 14,480.24 and 5,777.19 is: 7,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.88 : 14,480.24 = 5,777.19 : x
  2. Step 2: Convert to fraction form
    10,492.88/14,480.24 = 5,777.19/x
  3. Step 3: Cross multiply
    10,492.88x = 14,480.24 × 5,777.19
  4. Step 4: Simplify right side
    10,492.88x = 83,655,068.84
  5. Step 5: Solve for x
    x = 83,655,068.84/10,492.88
  6. Step 6: Final answer
    x = 7,972.56

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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.