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Finding the Fourth Proportional to 14,415, 19,875.66 and 10,166.76

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Solution

The fourth proportional to 14,415, 19,875.66 and 10,166.76 is: 14,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415 : 19,875.66 = 10,166.76 : x
  2. Step 2: Convert to fraction form
    14,415/19,875.66 = 10,166.76/x
  3. Step 3: Cross multiply
    14,415x = 19,875.66 × 10,166.76
  4. Step 4: Simplify right side
    14,415x = 202,071,065.06
  5. Step 5: Solve for x
    x = 202,071,065.06/14,415
  6. Step 6: Final answer
    x = 14,018.11

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Double scale
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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.