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Finding the Fourth Proportional to 7,348.80, 11,014.88 and 3,646.40

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Solution

The fourth proportional to 7,348.80, 11,014.88 and 3,646.40 is: 5,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.80 : 11,014.88 = 3,646.40 : x
  2. Step 2: Convert to fraction form
    7,348.80/11,014.88 = 3,646.40/x
  3. Step 3: Cross multiply
    7,348.80x = 11,014.88 × 3,646.40
  4. Step 4: Simplify right side
    7,348.80x = 40,164,658.43
  5. Step 5: Solve for x
    x = 40,164,658.43/7,348.80
  6. Step 6: Final answer
    x = 5,465.47

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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.