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Finding the Fourth Proportional to 7,443.60, 10,272 and 4,300.32

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Solution

The fourth proportional to 7,443.60, 10,272 and 4,300.32 is: 5,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.60 : 10,272 = 4,300.32 : x
  2. Step 2: Convert to fraction form
    7,443.60/10,272 = 4,300.32/x
  3. Step 3: Cross multiply
    7,443.60x = 10,272 × 4,300.32
  4. Step 4: Simplify right side
    7,443.60x = 44,172,887.04
  5. Step 5: Solve for x
    x = 44,172,887.04/7,443.60
  6. Step 6: Final answer
    x = 5,934.34

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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.