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Finding the Fourth Proportional to 10,642.40, 15,962.16 and 4,798.88

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Solution

The fourth proportional to 10,642.40, 15,962.16 and 4,798.88 is: 7,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.40 : 15,962.16 = 4,798.88 : x
  2. Step 2: Convert to fraction form
    10,642.40/15,962.16 = 4,798.88/x
  3. Step 3: Cross multiply
    10,642.40x = 15,962.16 × 4,798.88
  4. Step 4: Simplify right side
    10,642.40x = 76,600,490.38
  5. Step 5: Solve for x
    x = 76,600,490.38/10,642.40
  6. Step 6: Final answer
    x = 7,197.67

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1.5x scale

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.