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Finding the Fourth Proportional to 7,030.02, 9,701.03 and 4,120.43

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Solution

The fourth proportional to 7,030.02, 9,701.03 and 4,120.43 is: 5,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.02 : 9,701.03 = 4,120.43 : x
  2. Step 2: Convert to fraction form
    7,030.02/9,701.03 = 4,120.43/x
  3. Step 3: Cross multiply
    7,030.02x = 9,701.03 × 4,120.43
  4. Step 4: Simplify right side
    7,030.02x = 39,972,345.94
  5. Step 5: Solve for x
    x = 39,972,345.94/7,030.02
  6. Step 6: Final answer
    x = 5,685.95

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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.