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Finding the Fourth Proportional to 11,503.20, 15,868.80 and 7,312.80

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Solution

The fourth proportional to 11,503.20, 15,868.80 and 7,312.80 is: 10,088.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.20 : 15,868.80 = 7,312.80 : x
  2. Step 2: Convert to fraction form
    11,503.20/15,868.80 = 7,312.80/x
  3. Step 3: Cross multiply
    11,503.20x = 15,868.80 × 7,312.80
  4. Step 4: Simplify right side
    11,503.20x = 116,045,360.64
  5. Step 5: Solve for x
    x = 116,045,360.64/11,503.20
  6. Step 6: Final answer
    x = 10,088.09

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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.