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Finding the Fourth Proportional to 9,411.99, 12,987.05 and 5,432.35

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Solution

The fourth proportional to 9,411.99, 12,987.05 and 5,432.35 is: 7,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.99 : 12,987.05 = 5,432.35 : x
  2. Step 2: Convert to fraction form
    9,411.99/12,987.05 = 5,432.35/x
  3. Step 3: Cross multiply
    9,411.99x = 12,987.05 × 5,432.35
  4. Step 4: Simplify right side
    9,411.99x = 70,550,201.07
  5. Step 5: Solve for x
    x = 70,550,201.07/9,411.99
  6. Step 6: Final answer
    x = 7,495.78

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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.