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Finding the Fourth Proportional to 5,178.13, 7,803.63 and 4,685.20

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Solution

The fourth proportional to 5,178.13, 7,803.63 and 4,685.20 is: 7,060.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.13 : 7,803.63 = 4,685.20 : x
  2. Step 2: Convert to fraction form
    5,178.13/7,803.63 = 4,685.20/x
  3. Step 3: Cross multiply
    5,178.13x = 7,803.63 × 4,685.20
  4. Step 4: Simplify right side
    5,178.13x = 36,561,528.26
  5. Step 5: Solve for x
    x = 36,561,528.26/5,178.13
  6. Step 6: Final answer
    x = 7,060.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.