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Finding the Fourth Proportional to 10,070.40, 13,896 and 5,879.04

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Solution

The fourth proportional to 10,070.40, 13,896 and 5,879.04 is: 8,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.40 : 13,896 = 5,879.04 : x
  2. Step 2: Convert to fraction form
    10,070.40/13,896 = 5,879.04/x
  3. Step 3: Cross multiply
    10,070.40x = 13,896 × 5,879.04
  4. Step 4: Simplify right side
    10,070.40x = 81,695,139.84
  5. Step 5: Solve for x
    x = 81,695,139.84/10,070.40
  6. Step 6: Final answer
    x = 8,112.40

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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.