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Finding the Fourth Proportional to 1,416.80, 1,953.72 and 1,332.08

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Solution

The fourth proportional to 1,416.80, 1,953.72 and 1,332.08 is: 1,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.80 : 1,953.72 = 1,332.08 : x
  2. Step 2: Convert to fraction form
    1,416.80/1,953.72 = 1,332.08/x
  3. Step 3: Cross multiply
    1,416.80x = 1,953.72 × 1,332.08
  4. Step 4: Simplify right side
    1,416.80x = 2,602,511.34
  5. Step 5: Solve for x
    x = 2,602,511.34/1,416.80
  6. Step 6: Final answer
    x = 1,836.89

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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.