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Finding the Fourth Proportional to 9,802.50, 14,710.23 and 4,608.78

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Solution

The fourth proportional to 9,802.50, 14,710.23 and 4,608.78 is: 6,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.50 : 14,710.23 = 4,608.78 : x
  2. Step 2: Convert to fraction form
    9,802.50/14,710.23 = 4,608.78/x
  3. Step 3: Cross multiply
    9,802.50x = 14,710.23 × 4,608.78
  4. Step 4: Simplify right side
    9,802.50x = 67,796,213.82
  5. Step 5: Solve for x
    x = 67,796,213.82/9,802.50
  6. Step 6: Final answer
    x = 6,916.22

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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.