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Finding the Fourth Proportional to 30,138.81, 45,203.04 and 7,952.40

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Solution

The fourth proportional to 30,138.81, 45,203.04 and 7,952.40 is: 11,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.81 : 45,203.04 = 7,952.40 : x
  2. Step 2: Convert to fraction form
    30,138.81/45,203.04 = 7,952.40/x
  3. Step 3: Cross multiply
    30,138.81x = 45,203.04 × 7,952.40
  4. Step 4: Simplify right side
    30,138.81x = 359,472,655.30
  5. Step 5: Solve for x
    x = 359,472,655.30/30,138.81
  6. Step 6: Final answer
    x = 11,927.23

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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.