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Finding the Fourth Proportional to 7,698.40, 11,531.40 and 6,402.40

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Solution

The fourth proportional to 7,698.40, 11,531.40 and 6,402.40 is: 9,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.40 : 11,531.40 = 6,402.40 : x
  2. Step 2: Convert to fraction form
    7,698.40/11,531.40 = 6,402.40/x
  3. Step 3: Cross multiply
    7,698.40x = 11,531.40 × 6,402.40
  4. Step 4: Simplify right side
    7,698.40x = 73,828,635.36
  5. Step 5: Solve for x
    x = 73,828,635.36/7,698.40
  6. Step 6: Final answer
    x = 9,590.13

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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.