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Finding the Fourth Proportional to 7,812.12, 11,657.63 and 7,113.63

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Solution

The fourth proportional to 7,812.12, 11,657.63 and 7,113.63 is: 10,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.12 : 11,657.63 = 7,113.63 : x
  2. Step 2: Convert to fraction form
    7,812.12/11,657.63 = 7,113.63/x
  3. Step 3: Cross multiply
    7,812.12x = 11,657.63 × 7,113.63
  4. Step 4: Simplify right side
    7,812.12x = 82,928,030.93
  5. Step 5: Solve for x
    x = 82,928,030.93/7,812.12
  6. Step 6: Final answer
    x = 10,615.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.