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Finding the Fourth Proportional to 8,478.40, 11,700 and 5,339.84

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Solution

The fourth proportional to 8,478.40, 11,700 and 5,339.84 is: 7,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.40 : 11,700 = 5,339.84 : x
  2. Step 2: Convert to fraction form
    8,478.40/11,700 = 5,339.84/x
  3. Step 3: Cross multiply
    8,478.40x = 11,700 × 5,339.84
  4. Step 4: Simplify right side
    8,478.40x = 62,476,128
  5. Step 5: Solve for x
    x = 62,476,128/8,478.40
  6. Step 6: Final answer
    x = 7,368.86

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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.