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Finding the Fourth Proportional to 10,445.84, 14,415.28 and 5,730.16

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Solution

The fourth proportional to 10,445.84, 14,415.28 and 5,730.16 is: 7,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.84 : 14,415.28 = 5,730.16 : x
  2. Step 2: Convert to fraction form
    10,445.84/14,415.28 = 5,730.16/x
  3. Step 3: Cross multiply
    10,445.84x = 14,415.28 × 5,730.16
  4. Step 4: Simplify right side
    10,445.84x = 82,601,860.84
  5. Step 5: Solve for x
    x = 82,601,860.84/10,445.84
  6. Step 6: Final answer
    x = 7,907.63

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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.