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Finding the Fourth Proportional to 12,940.76, 17,858.14 and 7,275.53

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Solution

The fourth proportional to 12,940.76, 17,858.14 and 7,275.53 is: 10,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.76 : 17,858.14 = 7,275.53 : x
  2. Step 2: Convert to fraction form
    12,940.76/17,858.14 = 7,275.53/x
  3. Step 3: Cross multiply
    12,940.76x = 17,858.14 × 7,275.53
  4. Step 4: Simplify right side
    12,940.76x = 129,927,459.77
  5. Step 5: Solve for x
    x = 129,927,459.77/12,940.76
  6. Step 6: Final answer
    x = 10,040.17

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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.