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Finding the Fourth Proportional to 10,916.94, 15,077.64 and 7,374

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Solution

The fourth proportional to 10,916.94, 15,077.64 and 7,374 is: 10,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.94 : 15,077.64 = 7,374 : x
  2. Step 2: Convert to fraction form
    10,916.94/15,077.64 = 7,374/x
  3. Step 3: Cross multiply
    10,916.94x = 15,077.64 × 7,374
  4. Step 4: Simplify right side
    10,916.94x = 111,182,517.36
  5. Step 5: Solve for x
    x = 111,182,517.36/10,916.94
  6. Step 6: Final answer
    x = 10,184.40

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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.