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Finding the Fourth Proportional to 13,708.74, 20,539.71 and 7,457.59

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Solution

The fourth proportional to 13,708.74, 20,539.71 and 7,457.59 is: 11,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.74 : 20,539.71 = 7,457.59 : x
  2. Step 2: Convert to fraction form
    13,708.74/20,539.71 = 7,457.59/x
  3. Step 3: Cross multiply
    13,708.74x = 20,539.71 × 7,457.59
  4. Step 4: Simplify right side
    13,708.74x = 153,176,733.61
  5. Step 5: Solve for x
    x = 153,176,733.61/13,708.74
  6. Step 6: Final answer
    x = 11,173.66

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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.