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Finding the Fourth Proportional to 7,070.80, 10,607.40 and 2,140.40

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Solution

The fourth proportional to 7,070.80, 10,607.40 and 2,140.40 is: 3,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.80 : 10,607.40 = 2,140.40 : x
  2. Step 2: Convert to fraction form
    7,070.80/10,607.40 = 2,140.40/x
  3. Step 3: Cross multiply
    7,070.80x = 10,607.40 × 2,140.40
  4. Step 4: Simplify right side
    7,070.80x = 22,704,078.96
  5. Step 5: Solve for x
    x = 22,704,078.96/7,070.80
  6. Step 6: Final answer
    x = 3,210.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.