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Finding the Fourth Proportional to 10,070.90, 13,899.51 and 8,389.65

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Solution

The fourth proportional to 10,070.90, 13,899.51 and 8,389.65 is: 11,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.90 : 13,899.51 = 8,389.65 : x
  2. Step 2: Convert to fraction form
    10,070.90/13,899.51 = 8,389.65/x
  3. Step 3: Cross multiply
    10,070.90x = 13,899.51 × 8,389.65
  4. Step 4: Simplify right side
    10,070.90x = 116,611,989.32
  5. Step 5: Solve for x
    x = 116,611,989.32/10,070.90
  6. Step 6: Final answer
    x = 11,579.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.