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Finding the Fourth Proportional to 12,710.31, 19,065.47 and 3,476.31

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Solution

The fourth proportional to 12,710.31, 19,065.47 and 3,476.31 is: 5,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.31 : 19,065.47 = 3,476.31 : x
  2. Step 2: Convert to fraction form
    12,710.31/19,065.47 = 3,476.31/x
  3. Step 3: Cross multiply
    12,710.31x = 19,065.47 × 3,476.31
  4. Step 4: Simplify right side
    12,710.31x = 66,277,484.02
  5. Step 5: Solve for x
    x = 66,277,484.02/12,710.31
  6. Step 6: Final answer
    x = 5,214.47

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1.5x scale

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.