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Finding the Fourth Proportional to 10,509.80, 14,512.90 and 10,011.88

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Solution

The fourth proportional to 10,509.80, 14,512.90 and 10,011.88 is: 13,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.80 : 14,512.90 = 10,011.88 : x
  2. Step 2: Convert to fraction form
    10,509.80/14,512.90 = 10,011.88/x
  3. Step 3: Cross multiply
    10,509.80x = 14,512.90 × 10,011.88
  4. Step 4: Simplify right side
    10,509.80x = 145,301,413.25
  5. Step 5: Solve for x
    x = 145,301,413.25/10,509.80
  6. Step 6: Final answer
    x = 13,825.33

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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.