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Finding the Fourth Proportional to 8,580, 11,839.08 and 4,802.16

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Solution

The fourth proportional to 8,580, 11,839.08 and 4,802.16 is: 6,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580 : 11,839.08 = 4,802.16 : x
  2. Step 2: Convert to fraction form
    8,580/11,839.08 = 4,802.16/x
  3. Step 3: Cross multiply
    8,580x = 11,839.08 × 4,802.16
  4. Step 4: Simplify right side
    8,580x = 56,853,156.41
  5. Step 5: Solve for x
    x = 56,853,156.41/8,580
  6. Step 6: Final answer
    x = 6,626.24

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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.