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Finding the Fourth Proportional to 1,715.78, 2,369.20 and 1,053.08

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Solution

The fourth proportional to 1,715.78, 2,369.20 and 1,053.08 is: 1,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.78 : 2,369.20 = 1,053.08 : x
  2. Step 2: Convert to fraction form
    1,715.78/2,369.20 = 1,053.08/x
  3. Step 3: Cross multiply
    1,715.78x = 2,369.20 × 1,053.08
  4. Step 4: Simplify right side
    1,715.78x = 2,494,957.14
  5. Step 5: Solve for x
    x = 2,494,957.14/1,715.78
  6. Step 6: Final answer
    x = 1,454.12

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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.