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Finding the Fourth Proportional to 4,985.04, 7,477.92 and 1,696.80

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Solution

The fourth proportional to 4,985.04, 7,477.92 and 1,696.80 is: 2,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.04 : 7,477.92 = 1,696.80 : x
  2. Step 2: Convert to fraction form
    4,985.04/7,477.92 = 1,696.80/x
  3. Step 3: Cross multiply
    4,985.04x = 7,477.92 × 1,696.80
  4. Step 4: Simplify right side
    4,985.04x = 12,688,534.66
  5. Step 5: Solve for x
    x = 12,688,534.66/4,985.04
  6. Step 6: Final answer
    x = 2,545.32

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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.