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Finding the Fourth Proportional to 12,503.64, 18,746.12 and 7,572.08

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Solution

The fourth proportional to 12,503.64, 18,746.12 and 7,572.08 is: 11,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.64 : 18,746.12 = 7,572.08 : x
  2. Step 2: Convert to fraction form
    12,503.64/18,746.12 = 7,572.08/x
  3. Step 3: Cross multiply
    12,503.64x = 18,746.12 × 7,572.08
  4. Step 4: Simplify right side
    12,503.64x = 141,947,120.33
  5. Step 5: Solve for x
    x = 141,947,120.33/12,503.64
  6. Step 6: Final answer
    x = 11,352.46

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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.