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Finding the Fourth Proportional to 13,285, 19,930.02 and 4,970.86

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Solution

The fourth proportional to 13,285, 19,930.02 and 4,970.86 is: 7,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285 : 19,930.02 = 4,970.86 : x
  2. Step 2: Convert to fraction form
    13,285/19,930.02 = 4,970.86/x
  3. Step 3: Cross multiply
    13,285x = 19,930.02 × 4,970.86
  4. Step 4: Simplify right side
    13,285x = 99,069,339.22
  5. Step 5: Solve for x
    x = 99,069,339.22/13,285
  6. Step 6: Final answer
    x = 7,457.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.