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Finding the Fourth Proportional to 10,643.76, 15,971.52 and 4,070.88

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Solution

The fourth proportional to 10,643.76, 15,971.52 and 4,070.88 is: 6,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.76 : 15,971.52 = 4,070.88 : x
  2. Step 2: Convert to fraction form
    10,643.76/15,971.52 = 4,070.88/x
  3. Step 3: Cross multiply
    10,643.76x = 15,971.52 × 4,070.88
  4. Step 4: Simplify right side
    10,643.76x = 65,018,141.34
  5. Step 5: Solve for x
    x = 65,018,141.34/10,643.76
  6. Step 6: Final answer
    x = 6,108.57

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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.