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Finding the Fourth Proportional to 13,657.51, 18,847.15 and 7,689.16

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Solution

The fourth proportional to 13,657.51, 18,847.15 and 7,689.16 is: 10,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.51 : 18,847.15 = 7,689.16 : x
  2. Step 2: Convert to fraction form
    13,657.51/18,847.15 = 7,689.16/x
  3. Step 3: Cross multiply
    13,657.51x = 18,847.15 × 7,689.16
  4. Step 4: Simplify right side
    13,657.51x = 144,918,751.89
  5. Step 5: Solve for x
    x = 144,918,751.89/13,657.51
  6. Step 6: Final answer
    x = 10,610.92

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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.