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Finding the Fourth Proportional to 13,880.40, 19,154.76 and 7,592.40

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Solution

The fourth proportional to 13,880.40, 19,154.76 and 7,592.40 is: 10,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.40 : 19,154.76 = 7,592.40 : x
  2. Step 2: Convert to fraction form
    13,880.40/19,154.76 = 7,592.40/x
  3. Step 3: Cross multiply
    13,880.40x = 19,154.76 × 7,592.40
  4. Step 4: Simplify right side
    13,880.40x = 145,430,599.82
  5. Step 5: Solve for x
    x = 145,430,599.82/13,880.40
  6. Step 6: Final answer
    x = 10,477.41

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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.