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Finding the Fourth Proportional to 1,493.86, 2,061.36 and 830.62

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Solution

The fourth proportional to 1,493.86, 2,061.36 and 830.62 is: 1,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.86 : 2,061.36 = 830.62 : x
  2. Step 2: Convert to fraction form
    1,493.86/2,061.36 = 830.62/x
  3. Step 3: Cross multiply
    1,493.86x = 2,061.36 × 830.62
  4. Step 4: Simplify right side
    1,493.86x = 1,712,206.84
  5. Step 5: Solve for x
    x = 1,712,206.84/1,493.86
  6. Step 6: Final answer
    x = 1,146.16

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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.