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Finding the Fourth Proportional to 30,492.74, 42,075.96 and 19,896.68

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Solution

The fourth proportional to 30,492.74, 42,075.96 and 19,896.68 is: 27,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.74 : 42,075.96 = 19,896.68 : x
  2. Step 2: Convert to fraction form
    30,492.74/42,075.96 = 19,896.68/x
  3. Step 3: Cross multiply
    30,492.74x = 42,075.96 × 19,896.68
  4. Step 4: Simplify right side
    30,492.74x = 837,171,911.81
  5. Step 5: Solve for x
    x = 837,171,911.81/30,492.74
  6. Step 6: Final answer
    x = 27,454.79

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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.