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Finding the Fourth Proportional to 30,947.48, 42,707.04 and 16,800.20

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Solution

The fourth proportional to 30,947.48, 42,707.04 and 16,800.20 is: 23,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.48 : 42,707.04 = 16,800.20 : x
  2. Step 2: Convert to fraction form
    30,947.48/42,707.04 = 16,800.20/x
  3. Step 3: Cross multiply
    30,947.48x = 42,707.04 × 16,800.20
  4. Step 4: Simplify right side
    30,947.48x = 717,486,813.41
  5. Step 5: Solve for x
    x = 717,486,813.41/30,947.48
  6. Step 6: Final answer
    x = 23,184.01

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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.