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Finding the Fourth Proportional to 10,116.63, 15,146.63 and 7,643.67

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Solution

The fourth proportional to 10,116.63, 15,146.63 and 7,643.67 is: 11,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.63 : 15,146.63 = 7,643.67 : x
  2. Step 2: Convert to fraction form
    10,116.63/15,146.63 = 7,643.67/x
  3. Step 3: Cross multiply
    10,116.63x = 15,146.63 × 7,643.67
  4. Step 4: Simplify right side
    10,116.63x = 115,775,803.11
  5. Step 5: Solve for x
    x = 115,775,803.11/10,116.63
  6. Step 6: Final answer
    x = 11,444.11

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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.