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Finding the Fourth Proportional to 15,782.80, 23,674.20 and 8,856.40

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Solution

The fourth proportional to 15,782.80, 23,674.20 and 8,856.40 is: 13,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.80 : 23,674.20 = 8,856.40 : x
  2. Step 2: Convert to fraction form
    15,782.80/23,674.20 = 8,856.40/x
  3. Step 3: Cross multiply
    15,782.80x = 23,674.20 × 8,856.40
  4. Step 4: Simplify right side
    15,782.80x = 209,668,184.88
  5. Step 5: Solve for x
    x = 209,668,184.88/15,782.80
  6. Step 6: Final answer
    x = 13,284.60

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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.