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Finding the Fourth Proportional to 10,460, 14,442.10 and 7,320.44

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Solution

The fourth proportional to 10,460, 14,442.10 and 7,320.44 is: 10,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460 : 14,442.10 = 7,320.44 : x
  2. Step 2: Convert to fraction form
    10,460/14,442.10 = 7,320.44/x
  3. Step 3: Cross multiply
    10,460x = 14,442.10 × 7,320.44
  4. Step 4: Simplify right side
    10,460x = 105,722,526.52
  5. Step 5: Solve for x
    x = 105,722,526.52/10,460
  6. Step 6: Final answer
    x = 10,107.32

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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.