Home / 1,345.51-2,013.46-975.75

Finding the Fourth Proportional to 1,345.51, 2,013.46 and 975.75

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Solution

The fourth proportional to 1,345.51, 2,013.46 and 975.75 is: 1,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.51 : 2,013.46 = 975.75 : x
  2. Step 2: Convert to fraction form
    1,345.51/2,013.46 = 975.75/x
  3. Step 3: Cross multiply
    1,345.51x = 2,013.46 × 975.75
  4. Step 4: Simplify right side
    1,345.51x = 1,964,623.61
  5. Step 5: Solve for x
    x = 1,964,623.61/1,345.51
  6. Step 6: Final answer
    x = 1,460.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.