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Finding the Fourth Proportional to 8,971.04, 13,471.68 and 7,411.52

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Solution

The fourth proportional to 8,971.04, 13,471.68 and 7,411.52 is: 11,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.04 : 13,471.68 = 7,411.52 : x
  2. Step 2: Convert to fraction form
    8,971.04/13,471.68 = 7,411.52/x
  3. Step 3: Cross multiply
    8,971.04x = 13,471.68 × 7,411.52
  4. Step 4: Simplify right side
    8,971.04x = 99,845,625.75
  5. Step 5: Solve for x
    x = 99,845,625.75/8,971.04
  6. Step 6: Final answer
    x = 11,129.77

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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.