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Finding the Fourth Proportional to 7,045.29, 9,719.64 and 6,485.76

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Solution

The fourth proportional to 7,045.29, 9,719.64 and 6,485.76 is: 8,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.29 : 9,719.64 = 6,485.76 : x
  2. Step 2: Convert to fraction form
    7,045.29/9,719.64 = 6,485.76/x
  3. Step 3: Cross multiply
    7,045.29x = 9,719.64 × 6,485.76
  4. Step 4: Simplify right side
    7,045.29x = 63,039,252.33
  5. Step 5: Solve for x
    x = 63,039,252.33/7,045.29
  6. Step 6: Final answer
    x = 8,947.72

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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.