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Finding the Fourth Proportional to 14,787, 20,409.53 and 9,752.13

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Solution

The fourth proportional to 14,787, 20,409.53 and 9,752.13 is: 13,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787 : 20,409.53 = 9,752.13 : x
  2. Step 2: Convert to fraction form
    14,787/20,409.53 = 9,752.13/x
  3. Step 3: Cross multiply
    14,787x = 20,409.53 × 9,752.13
  4. Step 4: Simplify right side
    14,787x = 199,036,341.04
  5. Step 5: Solve for x
    x = 199,036,341.04/14,787
  6. Step 6: Final answer
    x = 13,460.22

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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.