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Finding the Fourth Proportional to 10,442.32, 14,417 and 7,306

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Solution

The fourth proportional to 10,442.32, 14,417 and 7,306 is: 10,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.32 : 14,417 = 7,306 : x
  2. Step 2: Convert to fraction form
    10,442.32/14,417 = 7,306/x
  3. Step 3: Cross multiply
    10,442.32x = 14,417 × 7,306
  4. Step 4: Simplify right side
    10,442.32x = 105,330,602
  5. Step 5: Solve for x
    x = 105,330,602/10,442.32
  6. Step 6: Final answer
    x = 10,086.90

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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.