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Finding the Fourth Proportional to 6,570, 9,066.60 and 4,215.33

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Solution

The fourth proportional to 6,570, 9,066.60 and 4,215.33 is: 5,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570 : 9,066.60 = 4,215.33 : x
  2. Step 2: Convert to fraction form
    6,570/9,066.60 = 4,215.33/x
  3. Step 3: Cross multiply
    6,570x = 9,066.60 × 4,215.33
  4. Step 4: Simplify right side
    6,570x = 38,218,710.98
  5. Step 5: Solve for x
    x = 38,218,710.98/6,570
  6. Step 6: Final answer
    x = 5,817.16

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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.