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Finding the Fourth Proportional to 14,139, 19,509.66 and 7,851.24

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Solution

The fourth proportional to 14,139, 19,509.66 and 7,851.24 is: 10,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,139 : 19,509.66 = 7,851.24 : x
  2. Step 2: Convert to fraction form
    14,139/19,509.66 = 7,851.24/x
  3. Step 3: Cross multiply
    14,139x = 19,509.66 × 7,851.24
  4. Step 4: Simplify right side
    14,139x = 153,175,022.98
  5. Step 5: Solve for x
    x = 153,175,022.98/14,139
  6. Step 6: Final answer
    x = 10,833.51

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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.