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Finding the Fourth Proportional to 6,382, 8,807.57 and 3,587.50

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Solution

The fourth proportional to 6,382, 8,807.57 and 3,587.50 is: 4,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382 : 8,807.57 = 3,587.50 : x
  2. Step 2: Convert to fraction form
    6,382/8,807.57 = 3,587.50/x
  3. Step 3: Cross multiply
    6,382x = 8,807.57 × 3,587.50
  4. Step 4: Simplify right side
    6,382x = 31,597,157.38
  5. Step 5: Solve for x
    x = 31,597,157.38/6,382
  6. Step 6: Final answer
    x = 4,950.98

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1.5x scale

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.