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Finding the Fourth Proportional to 13,810.84, 19,068.78 and 8,507.32

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Solution

The fourth proportional to 13,810.84, 19,068.78 and 8,507.32 is: 11,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.84 : 19,068.78 = 8,507.32 : x
  2. Step 2: Convert to fraction form
    13,810.84/19,068.78 = 8,507.32/x
  3. Step 3: Cross multiply
    13,810.84x = 19,068.78 × 8,507.32
  4. Step 4: Simplify right side
    13,810.84x = 162,224,213.47
  5. Step 5: Solve for x
    x = 162,224,213.47/13,810.84
  6. Step 6: Final answer
    x = 11,746.15

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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.