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Finding the Fourth Proportional to 13,770.40, 19,002.74 and 7,482.78

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Solution

The fourth proportional to 13,770.40, 19,002.74 and 7,482.78 is: 10,326.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.40 : 19,002.74 = 7,482.78 : x
  2. Step 2: Convert to fraction form
    13,770.40/19,002.74 = 7,482.78/x
  3. Step 3: Cross multiply
    13,770.40x = 19,002.74 × 7,482.78
  4. Step 4: Simplify right side
    13,770.40x = 142,193,322.82
  5. Step 5: Solve for x
    x = 142,193,322.82/13,770.40
  6. Step 6: Final answer
    x = 10,326.01

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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.