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Finding the Fourth Proportional to 5,657.76, 7,808.40 and 3,561.84

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Solution

The fourth proportional to 5,657.76, 7,808.40 and 3,561.84 is: 4,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.76 : 7,808.40 = 3,561.84 : x
  2. Step 2: Convert to fraction form
    5,657.76/7,808.40 = 3,561.84/x
  3. Step 3: Cross multiply
    5,657.76x = 7,808.40 × 3,561.84
  4. Step 4: Simplify right side
    5,657.76x = 27,812,271.46
  5. Step 5: Solve for x
    x = 27,812,271.46/5,657.76
  6. Step 6: Final answer
    x = 4,915.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.