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Finding the Fourth Proportional to 6,368, 8,788.65 and 3,573.50

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Solution

The fourth proportional to 6,368, 8,788.65 and 3,573.50 is: 4,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368 : 8,788.65 = 3,573.50 : x
  2. Step 2: Convert to fraction form
    6,368/8,788.65 = 3,573.50/x
  3. Step 3: Cross multiply
    6,368x = 8,788.65 × 3,573.50
  4. Step 4: Simplify right side
    6,368x = 31,406,240.78
  5. Step 5: Solve for x
    x = 31,406,240.78/6,368
  6. Step 6: Final answer
    x = 4,931.88

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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.