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Finding the Fourth Proportional to 14,266.54, 19,688.46 and 7,978.90

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Solution

The fourth proportional to 14,266.54, 19,688.46 and 7,978.90 is: 11,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.54 : 19,688.46 = 7,978.90 : x
  2. Step 2: Convert to fraction form
    14,266.54/19,688.46 = 7,978.90/x
  3. Step 3: Cross multiply
    14,266.54x = 19,688.46 × 7,978.90
  4. Step 4: Simplify right side
    14,266.54x = 157,092,253.49
  5. Step 5: Solve for x
    x = 157,092,253.49/14,266.54
  6. Step 6: Final answer
    x = 11,011.24

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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.