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Finding the Fourth Proportional to 14,266.40, 19,687.40 and 7,978.72

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Solution

The fourth proportional to 14,266.40, 19,687.40 and 7,978.72 is: 11,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.40 : 19,687.40 = 7,978.72 : x
  2. Step 2: Convert to fraction form
    14,266.40/19,687.40 = 7,978.72/x
  3. Step 3: Cross multiply
    14,266.40x = 19,687.40 × 7,978.72
  4. Step 4: Simplify right side
    14,266.40x = 157,080,252.13
  5. Step 5: Solve for x
    x = 157,080,252.13/14,266.40
  6. Step 6: Final answer
    x = 11,010.50

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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.