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Finding the Fourth Proportional to 8,460, 11,672.10 and 5,478.12

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Solution

The fourth proportional to 8,460, 11,672.10 and 5,478.12 is: 7,558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460 : 11,672.10 = 5,478.12 : x
  2. Step 2: Convert to fraction form
    8,460/11,672.10 = 5,478.12/x
  3. Step 3: Cross multiply
    8,460x = 11,672.10 × 5,478.12
  4. Step 4: Simplify right side
    8,460x = 63,941,164.45
  5. Step 5: Solve for x
    x = 63,941,164.45/8,460
  6. Step 6: Final answer
    x = 7,558.06

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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.