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Finding the Fourth Proportional to 12,913.06, 17,820.12 and 7,608.10

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Solution

The fourth proportional to 12,913.06, 17,820.12 and 7,608.10 is: 10,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.06 : 17,820.12 = 7,608.10 : x
  2. Step 2: Convert to fraction form
    12,913.06/17,820.12 = 7,608.10/x
  3. Step 3: Cross multiply
    12,913.06x = 17,820.12 × 7,608.10
  4. Step 4: Simplify right side
    12,913.06x = 135,577,254.97
  5. Step 5: Solve for x
    x = 135,577,254.97/12,913.06
  6. Step 6: Final answer
    x = 10,499.24

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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.