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Finding the Fourth Proportional to 10,628.80, 15,950.40 and 4,782.40

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Solution

The fourth proportional to 10,628.80, 15,950.40 and 4,782.40 is: 7,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.80 : 15,950.40 = 4,782.40 : x
  2. Step 2: Convert to fraction form
    10,628.80/15,950.40 = 4,782.40/x
  3. Step 3: Cross multiply
    10,628.80x = 15,950.40 × 4,782.40
  4. Step 4: Simplify right side
    10,628.80x = 76,281,192.96
  5. Step 5: Solve for x
    x = 76,281,192.96/10,628.80
  6. Step 6: Final answer
    x = 7,176.84

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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.