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Finding the Fourth Proportional to 7,607.84, 11,385.80 and 6,376.64

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Solution

The fourth proportional to 7,607.84, 11,385.80 and 6,376.64 is: 9,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.84 : 11,385.80 = 6,376.64 : x
  2. Step 2: Convert to fraction form
    7,607.84/11,385.80 = 6,376.64/x
  3. Step 3: Cross multiply
    7,607.84x = 11,385.80 × 6,376.64
  4. Step 4: Simplify right side
    7,607.84x = 72,603,147.71
  5. Step 5: Solve for x
    x = 72,603,147.71/7,607.84
  6. Step 6: Final answer
    x = 9,543.20

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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.