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Finding the Fourth Proportional to 10,395.12, 15,602.40 and 7,459.68

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Solution

The fourth proportional to 10,395.12, 15,602.40 and 7,459.68 is: 11,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.12 : 15,602.40 = 7,459.68 : x
  2. Step 2: Convert to fraction form
    10,395.12/15,602.40 = 7,459.68/x
  3. Step 3: Cross multiply
    10,395.12x = 15,602.40 × 7,459.68
  4. Step 4: Simplify right side
    10,395.12x = 116,388,911.23
  5. Step 5: Solve for x
    x = 116,388,911.23/10,395.12
  6. Step 6: Final answer
    x = 11,196.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.