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Finding the Fourth Proportional to 12,878.65, 19,317.97 and 7,032.07

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Solution

The fourth proportional to 12,878.65, 19,317.97 and 7,032.07 is: 10,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.65 : 19,317.97 = 7,032.07 : x
  2. Step 2: Convert to fraction form
    12,878.65/19,317.97 = 7,032.07/x
  3. Step 3: Cross multiply
    12,878.65x = 19,317.97 × 7,032.07
  4. Step 4: Simplify right side
    12,878.65x = 135,845,277.79
  5. Step 5: Solve for x
    x = 135,845,277.79/12,878.65
  6. Step 6: Final answer
    x = 10,548.10

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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.