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Finding the Fourth Proportional to 10,257.10, 14,389.10 and 10,257.10

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Solution

The fourth proportional to 10,257.10, 14,389.10 and 10,257.10 is: 14,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.10 : 14,389.10 = 10,257.10 : x
  2. Step 2: Convert to fraction form
    10,257.10/14,389.10 = 10,257.10/x
  3. Step 3: Cross multiply
    10,257.10x = 14,389.10 × 10,257.10
  4. Step 4: Simplify right side
    10,257.10x = 147,590,437.61
  5. Step 5: Solve for x
    x = 147,590,437.61/10,257.10
  6. Step 6: Final answer
    x = 14,389.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.