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Finding the Fourth Proportional to 8,871.24, 12,228.06 and 7,384.08

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Solution

The fourth proportional to 8,871.24, 12,228.06 and 7,384.08 is: 10,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,871.24 : 12,228.06 = 7,384.08 : x
  2. Step 2: Convert to fraction form
    8,871.24/12,228.06 = 7,384.08/x
  3. Step 3: Cross multiply
    8,871.24x = 12,228.06 × 7,384.08
  4. Step 4: Simplify right side
    8,871.24x = 90,292,973.28
  5. Step 5: Solve for x
    x = 90,292,973.28/8,871.24
  6. Step 6: Final answer
    x = 10,178.17

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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.