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Finding the Fourth Proportional to 10,904.40, 15,048 and 6,188.76

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Solution

The fourth proportional to 10,904.40, 15,048 and 6,188.76 is: 8,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.40 : 15,048 = 6,188.76 : x
  2. Step 2: Convert to fraction form
    10,904.40/15,048 = 6,188.76/x
  3. Step 3: Cross multiply
    10,904.40x = 15,048 × 6,188.76
  4. Step 4: Simplify right side
    10,904.40x = 93,128,460.48
  5. Step 5: Solve for x
    x = 93,128,460.48/10,904.40
  6. Step 6: Final answer
    x = 8,540.45

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Double scale
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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.