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Finding the Fourth Proportional to 13,038.71, 18,008.19 and 8,782.38

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Solution

The fourth proportional to 13,038.71, 18,008.19 and 8,782.38 is: 12,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.71 : 18,008.19 = 8,782.38 : x
  2. Step 2: Convert to fraction form
    13,038.71/18,008.19 = 8,782.38/x
  3. Step 3: Cross multiply
    13,038.71x = 18,008.19 × 8,782.38
  4. Step 4: Simplify right side
    13,038.71x = 158,154,767.69
  5. Step 5: Solve for x
    x = 158,154,767.69/13,038.71
  6. Step 6: Final answer
    x = 12,129.64

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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.