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Finding the Fourth Proportional to 9,700.42, 13,390.65 and 8,534.02

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Solution

The fourth proportional to 9,700.42, 13,390.65 and 8,534.02 is: 11,780.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.42 : 13,390.65 = 8,534.02 : x
  2. Step 2: Convert to fraction form
    9,700.42/13,390.65 = 8,534.02/x
  3. Step 3: Cross multiply
    9,700.42x = 13,390.65 × 8,534.02
  4. Step 4: Simplify right side
    9,700.42x = 114,276,074.91
  5. Step 5: Solve for x
    x = 114,276,074.91/9,700.42
  6. Step 6: Final answer
    x = 11,780.53

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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.