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Finding the Fourth Proportional to 12,543.78, 17,322.14 and 8,075.30

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Solution

The fourth proportional to 12,543.78, 17,322.14 and 8,075.30 is: 11,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.78 : 17,322.14 = 8,075.30 : x
  2. Step 2: Convert to fraction form
    12,543.78/17,322.14 = 8,075.30/x
  3. Step 3: Cross multiply
    12,543.78x = 17,322.14 × 8,075.30
  4. Step 4: Simplify right side
    12,543.78x = 139,881,436.77
  5. Step 5: Solve for x
    x = 139,881,436.77/12,543.78
  6. Step 6: Final answer
    x = 11,151.46

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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.