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Finding the Fourth Proportional to 5,665.61, 8,502.54 and 1,970.97

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Solution

The fourth proportional to 5,665.61, 8,502.54 and 1,970.97 is: 2,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.61 : 8,502.54 = 1,970.97 : x
  2. Step 2: Convert to fraction form
    5,665.61/8,502.54 = 1,970.97/x
  3. Step 3: Cross multiply
    5,665.61x = 8,502.54 × 1,970.97
  4. Step 4: Simplify right side
    5,665.61x = 16,758,211.99
  5. Step 5: Solve for x
    x = 16,758,211.99/5,665.61
  6. Step 6: Final answer
    x = 2,957.88

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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.