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Finding the Fourth Proportional to 12,740.66, 17,583.21 and 7,437.18

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Solution

The fourth proportional to 12,740.66, 17,583.21 and 7,437.18 is: 10,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.66 : 17,583.21 = 7,437.18 : x
  2. Step 2: Convert to fraction form
    12,740.66/17,583.21 = 7,437.18/x
  3. Step 3: Cross multiply
    12,740.66x = 17,583.21 × 7,437.18
  4. Step 4: Simplify right side
    12,740.66x = 130,769,497.75
  5. Step 5: Solve for x
    x = 130,769,497.75/12,740.66
  6. Step 6: Final answer
    x = 10,263.95

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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.