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Finding the Fourth Proportional to 10,361.76, 15,438 and 9,866.40

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Solution

The fourth proportional to 10,361.76, 15,438 and 9,866.40 is: 14,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.76 : 15,438 = 9,866.40 : x
  2. Step 2: Convert to fraction form
    10,361.76/15,438 = 9,866.40/x
  3. Step 3: Cross multiply
    10,361.76x = 15,438 × 9,866.40
  4. Step 4: Simplify right side
    10,361.76x = 152,317,483.20
  5. Step 5: Solve for x
    x = 152,317,483.20/10,361.76
  6. Step 6: Final answer
    x = 14,699.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.