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Finding the Fourth Proportional to 9,780, 13,493.16 and 5,802.36

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Solution

The fourth proportional to 9,780, 13,493.16 and 5,802.36 is: 8,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780 : 13,493.16 = 5,802.36 : x
  2. Step 2: Convert to fraction form
    9,780/13,493.16 = 5,802.36/x
  3. Step 3: Cross multiply
    9,780x = 13,493.16 × 5,802.36
  4. Step 4: Simplify right side
    9,780x = 78,292,171.86
  5. Step 5: Solve for x
    x = 78,292,171.86/9,780
  6. Step 6: Final answer
    x = 8,005.33

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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.