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Finding the Fourth Proportional to 7,712.40, 10,784.40 and 7,712.40

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Solution

The fourth proportional to 7,712.40, 10,784.40 and 7,712.40 is: 10,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.40 : 10,784.40 = 7,712.40 : x
  2. Step 2: Convert to fraction form
    7,712.40/10,784.40 = 7,712.40/x
  3. Step 3: Cross multiply
    7,712.40x = 10,784.40 × 7,712.40
  4. Step 4: Simplify right side
    7,712.40x = 83,173,606.56
  5. Step 5: Solve for x
    x = 83,173,606.56/7,712.40
  6. Step 6: Final answer
    x = 10,784.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.