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Finding the Fourth Proportional to 9,642.79, 13,314.93 and 7,127.74

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Solution

The fourth proportional to 9,642.79, 13,314.93 and 7,127.74 is: 9,842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.79 : 13,314.93 = 7,127.74 : x
  2. Step 2: Convert to fraction form
    9,642.79/13,314.93 = 7,127.74/x
  3. Step 3: Cross multiply
    9,642.79x = 13,314.93 × 7,127.74
  4. Step 4: Simplify right side
    9,642.79x = 94,905,359.16
  5. Step 5: Solve for x
    x = 94,905,359.16/9,642.79
  6. Step 6: Final answer
    x = 9,842.11

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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.