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Finding the Fourth Proportional to 14,264.76, 19,685.37 and 7,977.15

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Solution

The fourth proportional to 14,264.76, 19,685.37 and 7,977.15 is: 11,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.76 : 19,685.37 = 7,977.15 : x
  2. Step 2: Convert to fraction form
    14,264.76/19,685.37 = 7,977.15/x
  3. Step 3: Cross multiply
    14,264.76x = 19,685.37 × 7,977.15
  4. Step 4: Simplify right side
    14,264.76x = 157,033,149.30
  5. Step 5: Solve for x
    x = 157,033,149.30/14,264.76
  6. Step 6: Final answer
    x = 11,008.47

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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.