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Finding the Fourth Proportional to 10,390.95, 15,642.63 and 9,486.99

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Solution

The fourth proportional to 10,390.95, 15,642.63 and 9,486.99 is: 14,281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.95 : 15,642.63 = 9,486.99 : x
  2. Step 2: Convert to fraction form
    10,390.95/15,642.63 = 9,486.99/x
  3. Step 3: Cross multiply
    10,390.95x = 15,642.63 × 9,486.99
  4. Step 4: Simplify right side
    10,390.95x = 148,401,474.38
  5. Step 5: Solve for x
    x = 148,401,474.38/10,390.95
  6. Step 6: Final answer
    x = 14,281.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.