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Finding the Fourth Proportional to 15,913.40, 23,870.10 and 8,137.40

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Solution

The fourth proportional to 15,913.40, 23,870.10 and 8,137.40 is: 12,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.40 : 23,870.10 = 8,137.40 : x
  2. Step 2: Convert to fraction form
    15,913.40/23,870.10 = 8,137.40/x
  3. Step 3: Cross multiply
    15,913.40x = 23,870.10 × 8,137.40
  4. Step 4: Simplify right side
    15,913.40x = 194,240,551.74
  5. Step 5: Solve for x
    x = 194,240,551.74/15,913.40
  6. Step 6: Final answer
    x = 12,206.10

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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.