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Finding the Fourth Proportional to 9,312, 12,844.80 and 7,453.44

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Solution

The fourth proportional to 9,312, 12,844.80 and 7,453.44 is: 10,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312 : 12,844.80 = 7,453.44 : x
  2. Step 2: Convert to fraction form
    9,312/12,844.80 = 7,453.44/x
  3. Step 3: Cross multiply
    9,312x = 12,844.80 × 7,453.44
  4. Step 4: Simplify right side
    9,312x = 95,737,946.11
  5. Step 5: Solve for x
    x = 95,737,946.11/9,312
  6. Step 6: Final answer
    x = 10,281.14

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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.