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Finding the Fourth Proportional to 9,814.64, 13,538.76 and 6,458

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Solution

The fourth proportional to 9,814.64, 13,538.76 and 6,458 is: 8,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.64 : 13,538.76 = 6,458 : x
  2. Step 2: Convert to fraction form
    9,814.64/13,538.76 = 6,458/x
  3. Step 3: Cross multiply
    9,814.64x = 13,538.76 × 6,458
  4. Step 4: Simplify right side
    9,814.64x = 87,433,312.08
  5. Step 5: Solve for x
    x = 87,433,312.08/9,814.64
  6. Step 6: Final answer
    x = 8,908.46

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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.