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Finding the Fourth Proportional to 1,307.76, 1,803.44 and 1,212.32

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Solution

The fourth proportional to 1,307.76, 1,803.44 and 1,212.32 is: 1,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.76 : 1,803.44 = 1,212.32 : x
  2. Step 2: Convert to fraction form
    1,307.76/1,803.44 = 1,212.32/x
  3. Step 3: Cross multiply
    1,307.76x = 1,803.44 × 1,212.32
  4. Step 4: Simplify right side
    1,307.76x = 2,186,346.38
  5. Step 5: Solve for x
    x = 2,186,346.38/1,307.76
  6. Step 6: Final answer
    x = 1,671.83

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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.