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Finding the Fourth Proportional to 30,646.59, 42,264.21 and 19,880.20

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Solution

The fourth proportional to 30,646.59, 42,264.21 and 19,880.20 is: 27,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.59 : 42,264.21 = 19,880.20 : x
  2. Step 2: Convert to fraction form
    30,646.59/42,264.21 = 19,880.20/x
  3. Step 3: Cross multiply
    30,646.59x = 42,264.21 × 19,880.20
  4. Step 4: Simplify right side
    30,646.59x = 840,220,947.64
  5. Step 5: Solve for x
    x = 840,220,947.64/30,646.59
  6. Step 6: Final answer
    x = 27,416.46

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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.