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Finding the Fourth Proportional to 14,129.76, 19,499.14 and 7,842.13

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Solution

The fourth proportional to 14,129.76, 19,499.14 and 7,842.13 is: 10,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.76 : 19,499.14 = 7,842.13 : x
  2. Step 2: Convert to fraction form
    14,129.76/19,499.14 = 7,842.13/x
  3. Step 3: Cross multiply
    14,129.76x = 19,499.14 × 7,842.13
  4. Step 4: Simplify right side
    14,129.76x = 152,914,790.77
  5. Step 5: Solve for x
    x = 152,914,790.77/14,129.76
  6. Step 6: Final answer
    x = 10,822.18

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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.