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Finding the Fourth Proportional to 9,783, 13,498.65 and 5,802.66

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Solution

The fourth proportional to 9,783, 13,498.65 and 5,802.66 is: 8,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783 : 13,498.65 = 5,802.66 : x
  2. Step 2: Convert to fraction form
    9,783/13,498.65 = 5,802.66/x
  3. Step 3: Cross multiply
    9,783x = 13,498.65 × 5,802.66
  4. Step 4: Simplify right side
    9,783x = 78,328,076.41
  5. Step 5: Solve for x
    x = 78,328,076.41/9,783
  6. Step 6: Final answer
    x = 8,006.55

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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.