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Finding the Fourth Proportional to 14,159.12, 21,243 and 7,238.48

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Solution

The fourth proportional to 14,159.12, 21,243 and 7,238.48 is: 10,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.12 : 21,243 = 7,238.48 : x
  2. Step 2: Convert to fraction form
    14,159.12/21,243 = 7,238.48/x
  3. Step 3: Cross multiply
    14,159.12x = 21,243 × 7,238.48
  4. Step 4: Simplify right side
    14,159.12x = 153,767,030.64
  5. Step 5: Solve for x
    x = 153,767,030.64/14,159.12
  6. Step 6: Final answer
    x = 10,859.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.