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Finding the Fourth Proportional to 14,159.72, 19,539.86 and 7,871.64

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Solution

The fourth proportional to 14,159.72, 19,539.86 and 7,871.64 is: 10,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.72 : 19,539.86 = 7,871.64 : x
  2. Step 2: Convert to fraction form
    14,159.72/19,539.86 = 7,871.64/x
  3. Step 3: Cross multiply
    14,159.72x = 19,539.86 × 7,871.64
  4. Step 4: Simplify right side
    14,159.72x = 153,810,743.57
  5. Step 5: Solve for x
    x = 153,810,743.57/14,159.72
  6. Step 6: Final answer
    x = 10,862.56

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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.