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Finding the Fourth Proportional to 20,347.51, 30,524 and 19,117.32

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Solution

The fourth proportional to 20,347.51, 30,524 and 19,117.32 is: 28,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,347.51 : 30,524 = 19,117.32 : x
  2. Step 2: Convert to fraction form
    20,347.51/30,524 = 19,117.32/x
  3. Step 3: Cross multiply
    20,347.51x = 30,524 × 19,117.32
  4. Step 4: Simplify right side
    20,347.51x = 583,537,075.68
  5. Step 5: Solve for x
    x = 583,537,075.68/20,347.51
  6. Step 6: Final answer
    x = 28,678.55

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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.