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Finding the Fourth Proportional to 11,478.40, 15,840.48 and 7,002.40

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Solution

The fourth proportional to 11,478.40, 15,840.48 and 7,002.40 is: 9,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.40 : 15,840.48 = 7,002.40 : x
  2. Step 2: Convert to fraction form
    11,478.40/15,840.48 = 7,002.40/x
  3. Step 3: Cross multiply
    11,478.40x = 15,840.48 × 7,002.40
  4. Step 4: Simplify right side
    11,478.40x = 110,921,377.15
  5. Step 5: Solve for x
    x = 110,921,377.15/11,478.40
  6. Step 6: Final answer
    x = 9,663.49

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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.