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Finding the Fourth Proportional to 13,913.18, 19,200.15 and 7,539.94

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Solution

The fourth proportional to 13,913.18, 19,200.15 and 7,539.94 is: 10,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.18 : 19,200.15 = 7,539.94 : x
  2. Step 2: Convert to fraction form
    13,913.18/19,200.15 = 7,539.94/x
  3. Step 3: Cross multiply
    13,913.18x = 19,200.15 × 7,539.94
  4. Step 4: Simplify right side
    13,913.18x = 144,767,989.29
  5. Step 5: Solve for x
    x = 144,767,989.29/13,913.18
  6. Step 6: Final answer
    x = 10,405.10

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1.5x scale

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.