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Finding the Fourth Proportional to 39,315, 54,254.70 and 21,651

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Solution

The fourth proportional to 39,315, 54,254.70 and 21,651 is: 29,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,315 : 54,254.70 = 21,651 : x
  2. Step 2: Convert to fraction form
    39,315/54,254.70 = 21,651/x
  3. Step 3: Cross multiply
    39,315x = 54,254.70 × 21,651
  4. Step 4: Simplify right side
    39,315x = 1,174,668,509.70
  5. Step 5: Solve for x
    x = 1,174,668,509.70/39,315
  6. Step 6: Final answer
    x = 29,878.38

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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.