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Finding the Fourth Proportional to 13,880, 19,154.44 and 7,592.32

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Solution

The fourth proportional to 13,880, 19,154.44 and 7,592.32 is: 10,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880 : 19,154.44 = 7,592.32 : x
  2. Step 2: Convert to fraction form
    13,880/19,154.44 = 7,592.32/x
  3. Step 3: Cross multiply
    13,880x = 19,154.44 × 7,592.32
  4. Step 4: Simplify right side
    13,880x = 145,426,637.90
  5. Step 5: Solve for x
    x = 145,426,637.90/13,880
  6. Step 6: Final answer
    x = 10,477.42

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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.