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Finding the Fourth Proportional to 8,357.60, 11,533.28 and 4,631.60

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Solution

The fourth proportional to 8,357.60, 11,533.28 and 4,631.60 is: 6,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.60 : 11,533.28 = 4,631.60 : x
  2. Step 2: Convert to fraction form
    8,357.60/11,533.28 = 4,631.60/x
  3. Step 3: Cross multiply
    8,357.60x = 11,533.28 × 4,631.60
  4. Step 4: Simplify right side
    8,357.60x = 53,417,539.65
  5. Step 5: Solve for x
    x = 53,417,539.65/8,357.60
  6. Step 6: Final answer
    x = 6,391.49

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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.