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Finding the Fourth Proportional to 10,640.58, 14,681.79 and 6,164.07

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Solution

The fourth proportional to 10,640.58, 14,681.79 and 6,164.07 is: 8,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.58 : 14,681.79 = 6,164.07 : x
  2. Step 2: Convert to fraction form
    10,640.58/14,681.79 = 6,164.07/x
  3. Step 3: Cross multiply
    10,640.58x = 14,681.79 × 6,164.07
  4. Step 4: Simplify right side
    10,640.58x = 90,499,581.29
  5. Step 5: Solve for x
    x = 90,499,581.29/10,640.58
  6. Step 6: Final answer
    x = 8,505.14

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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.