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Finding the Fourth Proportional to 8,781.16, 12,113.94 and 5,053

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Solution

The fourth proportional to 8,781.16, 12,113.94 and 5,053 is: 6,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,781.16 : 12,113.94 = 5,053 : x
  2. Step 2: Convert to fraction form
    8,781.16/12,113.94 = 5,053/x
  3. Step 3: Cross multiply
    8,781.16x = 12,113.94 × 5,053
  4. Step 4: Simplify right side
    8,781.16x = 61,211,738.82
  5. Step 5: Solve for x
    x = 61,211,738.82/8,781.16
  6. Step 6: Final answer
    x = 6,970.80

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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.