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Finding the Fourth Proportional to 7,209.40, 10,214.02 and 7,209.40

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Solution

The fourth proportional to 7,209.40, 10,214.02 and 7,209.40 is: 10,214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.40 : 10,214.02 = 7,209.40 : x
  2. Step 2: Convert to fraction form
    7,209.40/10,214.02 = 7,209.40/x
  3. Step 3: Cross multiply
    7,209.40x = 10,214.02 × 7,209.40
  4. Step 4: Simplify right side
    7,209.40x = 73,636,955.79
  5. Step 5: Solve for x
    x = 73,636,955.79/7,209.40
  6. Step 6: Final answer
    x = 10,214.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.