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Finding the Fourth Proportional to 1,307.14, 1,956.93 and 873.52

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Solution

The fourth proportional to 1,307.14, 1,956.93 and 873.52 is: 1,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.14 : 1,956.93 = 873.52 : x
  2. Step 2: Convert to fraction form
    1,307.14/1,956.93 = 873.52/x
  3. Step 3: Cross multiply
    1,307.14x = 1,956.93 × 873.52
  4. Step 4: Simplify right side
    1,307.14x = 1,709,417.49
  5. Step 5: Solve for x
    x = 1,709,417.49/1,307.14
  6. Step 6: Final answer
    x = 1,307.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.