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Finding the Fourth Proportional to 11,398.49, 15,728.04 and 7,615.58

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Solution

The fourth proportional to 11,398.49, 15,728.04 and 7,615.58 is: 10,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.49 : 15,728.04 = 7,615.58 : x
  2. Step 2: Convert to fraction form
    11,398.49/15,728.04 = 7,615.58/x
  3. Step 3: Cross multiply
    11,398.49x = 15,728.04 × 7,615.58
  4. Step 4: Simplify right side
    11,398.49x = 119,778,146.86
  5. Step 5: Solve for x
    x = 119,778,146.86/11,398.49
  6. Step 6: Final answer
    x = 10,508.25

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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.