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Finding the Fourth Proportional to 30,819.60, 42,530.40 and 18,248.40

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Solution

The fourth proportional to 30,819.60, 42,530.40 and 18,248.40 is: 25,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.60 : 42,530.40 = 18,248.40 : x
  2. Step 2: Convert to fraction form
    30,819.60/42,530.40 = 18,248.40/x
  3. Step 3: Cross multiply
    30,819.60x = 42,530.40 × 18,248.40
  4. Step 4: Simplify right side
    30,819.60x = 776,111,751.36
  5. Step 5: Solve for x
    x = 776,111,751.36/30,819.60
  6. Step 6: Final answer
    x = 25,182.41

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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.