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Finding the Fourth Proportional to 13,283.30, 18,330.99 and 7,978.20

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Solution

The fourth proportional to 13,283.30, 18,330.99 and 7,978.20 is: 11,009.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.30 : 18,330.99 = 7,978.20 : x
  2. Step 2: Convert to fraction form
    13,283.30/18,330.99 = 7,978.20/x
  3. Step 3: Cross multiply
    13,283.30x = 18,330.99 × 7,978.20
  4. Step 4: Simplify right side
    13,283.30x = 146,248,304.42
  5. Step 5: Solve for x
    x = 146,248,304.42/13,283.30
  6. Step 6: Final answer
    x = 11,009.94

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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.