Home / 1,501.10-2,071.51-828.92

Finding the Fourth Proportional to 1,501.10, 2,071.51 and 828.92

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Solution

The fourth proportional to 1,501.10, 2,071.51 and 828.92 is: 1,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.10 : 2,071.51 = 828.92 : x
  2. Step 2: Convert to fraction form
    1,501.10/2,071.51 = 828.92/x
  3. Step 3: Cross multiply
    1,501.10x = 2,071.51 × 828.92
  4. Step 4: Simplify right side
    1,501.10x = 1,717,116.07
  5. Step 5: Solve for x
    x = 1,717,116.07/1,501.10
  6. Step 6: Final answer
    x = 1,143.91

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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.