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Finding the Fourth Proportional to 9,938.47, 14,886.64 and 6,803.77

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Solution

The fourth proportional to 9,938.47, 14,886.64 and 6,803.77 is: 10,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.47 : 14,886.64 = 6,803.77 : x
  2. Step 2: Convert to fraction form
    9,938.47/14,886.64 = 6,803.77/x
  3. Step 3: Cross multiply
    9,938.47x = 14,886.64 × 6,803.77
  4. Step 4: Simplify right side
    9,938.47x = 101,285,274.63
  5. Step 5: Solve for x
    x = 101,285,274.63/9,938.47
  6. Step 6: Final answer
    x = 10,191.23

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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.