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Finding the Fourth Proportional to 7,682.19, 10,602.22 and 4,700.01

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Solution

The fourth proportional to 7,682.19, 10,602.22 and 4,700.01 is: 6,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.19 : 10,602.22 = 4,700.01 : x
  2. Step 2: Convert to fraction form
    7,682.19/10,602.22 = 4,700.01/x
  3. Step 3: Cross multiply
    7,682.19x = 10,602.22 × 4,700.01
  4. Step 4: Simplify right side
    7,682.19x = 49,830,540.02
  5. Step 5: Solve for x
    x = 49,830,540.02/7,682.19
  6. Step 6: Final answer
    x = 6,486.50

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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.