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Finding the Fourth Proportional to 12,884.71, 19,327.07 and 7,038.13

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Solution

The fourth proportional to 12,884.71, 19,327.07 and 7,038.13 is: 10,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.71 : 19,327.07 = 7,038.13 : x
  2. Step 2: Convert to fraction form
    12,884.71/19,327.07 = 7,038.13/x
  3. Step 3: Cross multiply
    12,884.71x = 19,327.07 × 7,038.13
  4. Step 4: Simplify right side
    12,884.71x = 136,026,431.18
  5. Step 5: Solve for x
    x = 136,026,431.18/12,884.71
  6. Step 6: Final answer
    x = 10,557.20

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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.