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Finding the Fourth Proportional to 8,642.40, 11,909.86 and 6,280.80

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Solution

The fourth proportional to 8,642.40, 11,909.86 and 6,280.80 is: 8,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.40 : 11,909.86 = 6,280.80 : x
  2. Step 2: Convert to fraction form
    8,642.40/11,909.86 = 6,280.80/x
  3. Step 3: Cross multiply
    8,642.40x = 11,909.86 × 6,280.80
  4. Step 4: Simplify right side
    8,642.40x = 74,803,448.69
  5. Step 5: Solve for x
    x = 74,803,448.69/8,642.40
  6. Step 6: Final answer
    x = 8,655.40

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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.