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Finding the Fourth Proportional to 14,265.51, 19,686.54 and 7,977.90

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Solution

The fourth proportional to 14,265.51, 19,686.54 and 7,977.90 is: 11,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.51 : 19,686.54 = 7,977.90 : x
  2. Step 2: Convert to fraction form
    14,265.51/19,686.54 = 7,977.90/x
  3. Step 3: Cross multiply
    14,265.51x = 19,686.54 × 7,977.90
  4. Step 4: Simplify right side
    14,265.51x = 157,057,247.47
  5. Step 5: Solve for x
    x = 157,057,247.47/14,265.51
  6. Step 6: Final answer
    x = 11,009.58

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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.