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Finding the Fourth Proportional to 14,129.98, 19,499.19 and 7,842.22

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Solution

The fourth proportional to 14,129.98, 19,499.19 and 7,842.22 is: 10,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.98 : 19,499.19 = 7,842.22 : x
  2. Step 2: Convert to fraction form
    14,129.98/19,499.19 = 7,842.22/x
  3. Step 3: Cross multiply
    14,129.98x = 19,499.19 × 7,842.22
  4. Step 4: Simplify right side
    14,129.98x = 152,916,937.80
  5. Step 5: Solve for x
    x = 152,916,937.80/14,129.98
  6. Step 6: Final answer
    x = 10,822.16

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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.