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Finding the Fourth Proportional to 25,963.40, 38,970.70 and 12,830.60

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Solution

The fourth proportional to 25,963.40, 38,970.70 and 12,830.60 is: 19,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,963.40 : 38,970.70 = 12,830.60 : x
  2. Step 2: Convert to fraction form
    25,963.40/38,970.70 = 12,830.60/x
  3. Step 3: Cross multiply
    25,963.40x = 38,970.70 × 12,830.60
  4. Step 4: Simplify right side
    25,963.40x = 500,017,463.42
  5. Step 5: Solve for x
    x = 500,017,463.42/25,963.40
  6. Step 6: Final answer
    x = 19,258.55

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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.