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Finding the Fourth Proportional to 9,840.10, 13,810.70 and 9,840.10

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Solution

The fourth proportional to 9,840.10, 13,810.70 and 9,840.10 is: 13,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.10 : 13,810.70 = 9,840.10 : x
  2. Step 2: Convert to fraction form
    9,840.10/13,810.70 = 9,840.10/x
  3. Step 3: Cross multiply
    9,840.10x = 13,810.70 × 9,840.10
  4. Step 4: Simplify right side
    9,840.10x = 135,898,669.07
  5. Step 5: Solve for x
    x = 135,898,669.07/9,840.10
  6. Step 6: Final answer
    x = 13,810.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.