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Finding the Fourth Proportional to 13,543.74, 20,323.35 and 7,303.71

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Solution

The fourth proportional to 13,543.74, 20,323.35 and 7,303.71 is: 10,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.74 : 20,323.35 = 7,303.71 : x
  2. Step 2: Convert to fraction form
    13,543.74/20,323.35 = 7,303.71/x
  3. Step 3: Cross multiply
    13,543.74x = 20,323.35 × 7,303.71
  4. Step 4: Simplify right side
    13,543.74x = 148,435,854.63
  5. Step 5: Solve for x
    x = 148,435,854.63/13,543.74
  6. Step 6: Final answer
    x = 10,959.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.