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Finding the Fourth Proportional to 9,781.70, 13,503.93 and 5,807.30

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Solution

The fourth proportional to 9,781.70, 13,503.93 and 5,807.30 is: 8,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.70 : 13,503.93 = 5,807.30 : x
  2. Step 2: Convert to fraction form
    9,781.70/13,503.93 = 5,807.30/x
  3. Step 3: Cross multiply
    9,781.70x = 13,503.93 × 5,807.30
  4. Step 4: Simplify right side
    9,781.70x = 78,421,372.69
  5. Step 5: Solve for x
    x = 78,421,372.69/9,781.70
  6. Step 6: Final answer
    x = 8,017.15

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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.