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Finding the Fourth Proportional to 12,802.95, 17,666.83 and 7,699.95

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Solution

The fourth proportional to 12,802.95, 17,666.83 and 7,699.95 is: 10,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.95 : 17,666.83 = 7,699.95 : x
  2. Step 2: Convert to fraction form
    12,802.95/17,666.83 = 7,699.95/x
  3. Step 3: Cross multiply
    12,802.95x = 17,666.83 × 7,699.95
  4. Step 4: Simplify right side
    12,802.95x = 136,033,707.66
  5. Step 5: Solve for x
    x = 136,033,707.66/12,802.95
  6. Step 6: Final answer
    x = 10,625.18

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1.5x scale

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.