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Finding the Fourth Proportional to 10,648.80, 15,894.36 and 9,992.16

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Solution

The fourth proportional to 10,648.80, 15,894.36 and 9,992.16 is: 14,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.80 : 15,894.36 = 9,992.16 : x
  2. Step 2: Convert to fraction form
    10,648.80/15,894.36 = 9,992.16/x
  3. Step 3: Cross multiply
    10,648.80x = 15,894.36 × 9,992.16
  4. Step 4: Simplify right side
    10,648.80x = 158,818,988.22
  5. Step 5: Solve for x
    x = 158,818,988.22/10,648.80
  6. Step 6: Final answer
    x = 14,914.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.