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Finding the Fourth Proportional to 10,539.90, 15,735.02 and 9,373.50

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Solution

The fourth proportional to 10,539.90, 15,735.02 and 9,373.50 is: 13,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.90 : 15,735.02 = 9,373.50 : x
  2. Step 2: Convert to fraction form
    10,539.90/15,735.02 = 9,373.50/x
  3. Step 3: Cross multiply
    10,539.90x = 15,735.02 × 9,373.50
  4. Step 4: Simplify right side
    10,539.90x = 147,492,163.10
  5. Step 5: Solve for x
    x = 147,492,163.10/10,539.90
  6. Step 6: Final answer
    x = 13,993.70

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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.