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Finding the Fourth Proportional to 34,762.50, 52,146.72 and 9,802.80

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Solution

The fourth proportional to 34,762.50, 52,146.72 and 9,802.80 is: 14,705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,762.50 : 52,146.72 = 9,802.80 : x
  2. Step 2: Convert to fraction form
    34,762.50/52,146.72 = 9,802.80/x
  3. Step 3: Cross multiply
    34,762.50x = 52,146.72 × 9,802.80
  4. Step 4: Simplify right side
    34,762.50x = 511,183,866.82
  5. Step 5: Solve for x
    x = 511,183,866.82/34,762.50
  6. Step 6: Final answer
    x = 14,705.04

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1.5x scale

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.