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Finding the Fourth Proportional to 19,303.68, 26,638.56 and 10,920

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Solution

The fourth proportional to 19,303.68, 26,638.56 and 10,920 is: 15,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,303.68 : 26,638.56 = 10,920 : x
  2. Step 2: Convert to fraction form
    19,303.68/26,638.56 = 10,920/x
  3. Step 3: Cross multiply
    19,303.68x = 26,638.56 × 10,920
  4. Step 4: Simplify right side
    19,303.68x = 290,893,075.20
  5. Step 5: Solve for x
    x = 290,893,075.20/19,303.68
  6. Step 6: Final answer
    x = 15,069.31

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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.