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Finding the Fourth Proportional to 13,006.40, 17,948.88 and 7,038.07

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Solution

The fourth proportional to 13,006.40, 17,948.88 and 7,038.07 is: 9,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.40 : 17,948.88 = 7,038.07 : x
  2. Step 2: Convert to fraction form
    13,006.40/17,948.88 = 7,038.07/x
  3. Step 3: Cross multiply
    13,006.40x = 17,948.88 × 7,038.07
  4. Step 4: Simplify right side
    13,006.40x = 126,325,528.26
  5. Step 5: Solve for x
    x = 126,325,528.26/13,006.40
  6. Step 6: Final answer
    x = 9,712.56

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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.