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Finding the Fourth Proportional to 11,574.36, 15,981.64 and 8,881.28

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Solution

The fourth proportional to 11,574.36, 15,981.64 and 8,881.28 is: 12,263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.36 : 15,981.64 = 8,881.28 : x
  2. Step 2: Convert to fraction form
    11,574.36/15,981.64 = 8,881.28/x
  3. Step 3: Cross multiply
    11,574.36x = 15,981.64 × 8,881.28
  4. Step 4: Simplify right side
    11,574.36x = 141,937,377.52
  5. Step 5: Solve for x
    x = 141,937,377.52/11,574.36
  6. Step 6: Final answer
    x = 12,263.09

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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.