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Finding the Fourth Proportional to 1,680.35, 2,509.53 and 1,430.89

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Solution

The fourth proportional to 1,680.35, 2,509.53 and 1,430.89 is: 2,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.35 : 2,509.53 = 1,430.89 : x
  2. Step 2: Convert to fraction form
    1,680.35/2,509.53 = 1,430.89/x
  3. Step 3: Cross multiply
    1,680.35x = 2,509.53 × 1,430.89
  4. Step 4: Simplify right side
    1,680.35x = 3,590,861.38
  5. Step 5: Solve for x
    x = 3,590,861.38/1,680.35
  6. Step 6: Final answer
    x = 2,136.97

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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.