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Finding the Fourth Proportional to 10,500.52, 14,492.32 and 7,978.52

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Solution

The fourth proportional to 10,500.52, 14,492.32 and 7,978.52 is: 11,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.52 : 14,492.32 = 7,978.52 : x
  2. Step 2: Convert to fraction form
    10,500.52/14,492.32 = 7,978.52/x
  3. Step 3: Cross multiply
    10,500.52x = 14,492.32 × 7,978.52
  4. Step 4: Simplify right side
    10,500.52x = 115,627,264.97
  5. Step 5: Solve for x
    x = 115,627,264.97/10,500.52
  6. Step 6: Final answer
    x = 11,011.58

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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.