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Finding the Fourth Proportional to 1,307.97, 1,947.07 and 1,248.23

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Solution

The fourth proportional to 1,307.97, 1,947.07 and 1,248.23 is: 1,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.97 : 1,947.07 = 1,248.23 : x
  2. Step 2: Convert to fraction form
    1,307.97/1,947.07 = 1,248.23/x
  3. Step 3: Cross multiply
    1,307.97x = 1,947.07 × 1,248.23
  4. Step 4: Simplify right side
    1,307.97x = 2,430,391.19
  5. Step 5: Solve for x
    x = 2,430,391.19/1,307.97
  6. Step 6: Final answer
    x = 1,858.14

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Double scale
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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.