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Finding the Fourth Proportional to 11,425.34, 15,762.32 and 7,445

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Solution

The fourth proportional to 11,425.34, 15,762.32 and 7,445 is: 10,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.34 : 15,762.32 = 7,445 : x
  2. Step 2: Convert to fraction form
    11,425.34/15,762.32 = 7,445/x
  3. Step 3: Cross multiply
    11,425.34x = 15,762.32 × 7,445
  4. Step 4: Simplify right side
    11,425.34x = 117,350,472.40
  5. Step 5: Solve for x
    x = 117,350,472.40/11,425.34
  6. Step 6: Final answer
    x = 10,271.07

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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.