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Finding the Fourth Proportional to 14,259.63, 19,677.20 and 7,971.15

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Solution

The fourth proportional to 14,259.63, 19,677.20 and 7,971.15 is: 10,999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.63 : 19,677.20 = 7,971.15 : x
  2. Step 2: Convert to fraction form
    14,259.63/19,677.20 = 7,971.15/x
  3. Step 3: Cross multiply
    14,259.63x = 19,677.20 × 7,971.15
  4. Step 4: Simplify right side
    14,259.63x = 156,849,872.92
  5. Step 5: Solve for x
    x = 156,849,872.92/14,259.63
  6. Step 6: Final answer
    x = 10,999.58

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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.