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Finding the Fourth Proportional to 2,430.76, 3,640.86 and 1,780

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Solution

The fourth proportional to 2,430.76, 3,640.86 and 1,780 is: 2,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.76 : 3,640.86 = 1,780 : x
  2. Step 2: Convert to fraction form
    2,430.76/3,640.86 = 1,780/x
  3. Step 3: Cross multiply
    2,430.76x = 3,640.86 × 1,780
  4. Step 4: Simplify right side
    2,430.76x = 6,480,730.80
  5. Step 5: Solve for x
    x = 6,480,730.80/2,430.76
  6. Step 6: Final answer
    x = 2,666.13

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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.