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Finding the Fourth Proportional to 13,038.59, 17,993.20 and 7,070.21

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Solution

The fourth proportional to 13,038.59, 17,993.20 and 7,070.21 is: 9,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.59 : 17,993.20 = 7,070.21 : x
  2. Step 2: Convert to fraction form
    13,038.59/17,993.20 = 7,070.21/x
  3. Step 3: Cross multiply
    13,038.59x = 17,993.20 × 7,070.21
  4. Step 4: Simplify right side
    13,038.59x = 127,215,702.57
  5. Step 5: Solve for x
    x = 127,215,702.57/13,038.59
  6. Step 6: Final answer
    x = 9,756.86

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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.