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Finding the Fourth Proportional to 2,007.52, 2,770.88 and 1,307.68

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Solution

The fourth proportional to 2,007.52, 2,770.88 and 1,307.68 is: 1,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.52 : 2,770.88 = 1,307.68 : x
  2. Step 2: Convert to fraction form
    2,007.52/2,770.88 = 1,307.68/x
  3. Step 3: Cross multiply
    2,007.52x = 2,770.88 × 1,307.68
  4. Step 4: Simplify right side
    2,007.52x = 3,623,424.36
  5. Step 5: Solve for x
    x = 3,623,424.36/2,007.52
  6. Step 6: Final answer
    x = 1,804.93

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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.