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Finding the Fourth Proportional to 11,384.03, 15,712.47 and 7,398.21

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Solution

The fourth proportional to 11,384.03, 15,712.47 and 7,398.21 is: 10,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.03 : 15,712.47 = 7,398.21 : x
  2. Step 2: Convert to fraction form
    11,384.03/15,712.47 = 7,398.21/x
  3. Step 3: Cross multiply
    11,384.03x = 15,712.47 × 7,398.21
  4. Step 4: Simplify right side
    11,384.03x = 116,244,152.68
  5. Step 5: Solve for x
    x = 116,244,152.68/11,384.03
  6. Step 6: Final answer
    x = 10,211.16

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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.