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Finding the Fourth Proportional to 30,643.80, 45,965.70 and 13,115.40

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Solution

The fourth proportional to 30,643.80, 45,965.70 and 13,115.40 is: 19,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.80 : 45,965.70 = 13,115.40 : x
  2. Step 2: Convert to fraction form
    30,643.80/45,965.70 = 13,115.40/x
  3. Step 3: Cross multiply
    30,643.80x = 45,965.70 × 13,115.40
  4. Step 4: Simplify right side
    30,643.80x = 602,858,541.78
  5. Step 5: Solve for x
    x = 602,858,541.78/30,643.80
  6. Step 6: Final answer
    x = 19,673.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.