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Finding the Fourth Proportional to 27,683.60, 38,253.42 and 19,712

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Solution

The fourth proportional to 27,683.60, 38,253.42 and 19,712 is: 27,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.60 : 38,253.42 = 19,712 : x
  2. Step 2: Convert to fraction form
    27,683.60/38,253.42 = 19,712/x
  3. Step 3: Cross multiply
    27,683.60x = 38,253.42 × 19,712
  4. Step 4: Simplify right side
    27,683.60x = 754,051,415.04
  5. Step 5: Solve for x
    x = 754,051,415.04/27,683.60
  6. Step 6: Final answer
    x = 27,238.20

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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.