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Finding the Fourth Proportional to 10,973, 15,142.92 and 6,259.88

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Solution

The fourth proportional to 10,973, 15,142.92 and 6,259.88 is: 8,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973 : 15,142.92 = 6,259.88 : x
  2. Step 2: Convert to fraction form
    10,973/15,142.92 = 6,259.88/x
  3. Step 3: Cross multiply
    10,973x = 15,142.92 × 6,259.88
  4. Step 4: Simplify right side
    10,973x = 94,792,862.05
  5. Step 5: Solve for x
    x = 94,792,862.05/10,973
  6. Step 6: Final answer
    x = 8,638.74

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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.