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Finding the Fourth Proportional to 14,264.48, 19,686.84 and 7,978.16

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Solution

The fourth proportional to 14,264.48, 19,686.84 and 7,978.16 is: 11,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.48 : 19,686.84 = 7,978.16 : x
  2. Step 2: Convert to fraction form
    14,264.48/19,686.84 = 7,978.16/x
  3. Step 3: Cross multiply
    14,264.48x = 19,686.84 × 7,978.16
  4. Step 4: Simplify right side
    14,264.48x = 157,064,759.41
  5. Step 5: Solve for x
    x = 157,064,759.41/14,264.48
  6. Step 6: Final answer
    x = 11,010.90

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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.