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Finding the Fourth Proportional to 8,752, 12,077.64 and 5,215.36

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Solution

The fourth proportional to 8,752, 12,077.64 and 5,215.36 is: 7,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,752 : 12,077.64 = 5,215.36 : x
  2. Step 2: Convert to fraction form
    8,752/12,077.64 = 5,215.36/x
  3. Step 3: Cross multiply
    8,752x = 12,077.64 × 5,215.36
  4. Step 4: Simplify right side
    8,752x = 62,989,240.55
  5. Step 5: Solve for x
    x = 62,989,240.55/8,752
  6. Step 6: Final answer
    x = 7,197.13

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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.