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Finding the Fourth Proportional to 15,188.94, 20,970.48 and 9,531.45

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Solution

The fourth proportional to 15,188.94, 20,970.48 and 9,531.45 is: 13,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,188.94 : 20,970.48 = 9,531.45 : x
  2. Step 2: Convert to fraction form
    15,188.94/20,970.48 = 9,531.45/x
  3. Step 3: Cross multiply
    15,188.94x = 20,970.48 × 9,531.45
  4. Step 4: Simplify right side
    15,188.94x = 199,879,081.60
  5. Step 5: Solve for x
    x = 199,879,081.60/15,188.94
  6. Step 6: Final answer
    x = 13,159.51

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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.