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Finding the Fourth Proportional to 10,972.94, 15,144.03 and 6,258.20

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Solution

The fourth proportional to 10,972.94, 15,144.03 and 6,258.20 is: 8,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.94 : 15,144.03 = 6,258.20 : x
  2. Step 2: Convert to fraction form
    10,972.94/15,144.03 = 6,258.20/x
  3. Step 3: Cross multiply
    10,972.94x = 15,144.03 × 6,258.20
  4. Step 4: Simplify right side
    10,972.94x = 94,774,292.83
  5. Step 5: Solve for x
    x = 94,774,292.83/10,972.94
  6. Step 6: Final answer
    x = 8,637.10

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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.