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Finding the Fourth Proportional to 15,503.76, 21,395.14 and 8,430.20

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Solution

The fourth proportional to 15,503.76, 21,395.14 and 8,430.20 is: 11,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,503.76 : 21,395.14 = 8,430.20 : x
  2. Step 2: Convert to fraction form
    15,503.76/21,395.14 = 8,430.20/x
  3. Step 3: Cross multiply
    15,503.76x = 21,395.14 × 8,430.20
  4. Step 4: Simplify right side
    15,503.76x = 180,365,309.23
  5. Step 5: Solve for x
    x = 180,365,309.23/15,503.76
  6. Step 6: Final answer
    x = 11,633.65

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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.