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Finding the Fourth Proportional to 4,776, 6,590.88 and 2,680.80

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Solution

The fourth proportional to 4,776, 6,590.88 and 2,680.80 is: 3,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776 : 6,590.88 = 2,680.80 : x
  2. Step 2: Convert to fraction form
    4,776/6,590.88 = 2,680.80/x
  3. Step 3: Cross multiply
    4,776x = 6,590.88 × 2,680.80
  4. Step 4: Simplify right side
    4,776x = 17,668,831.10
  5. Step 5: Solve for x
    x = 17,668,831.10/4,776
  6. Step 6: Final answer
    x = 3,699.50

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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.