Home / 1,501.16-2,071.70-838.13

Finding the Fourth Proportional to 1,501.16, 2,071.70 and 838.13

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Solution

The fourth proportional to 1,501.16, 2,071.70 and 838.13 is: 1,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.16 : 2,071.70 = 838.13 : x
  2. Step 2: Convert to fraction form
    1,501.16/2,071.70 = 838.13/x
  3. Step 3: Cross multiply
    1,501.16x = 2,071.70 × 838.13
  4. Step 4: Simplify right side
    1,501.16x = 1,736,339.37
  5. Step 5: Solve for x
    x = 1,736,339.37/1,501.16
  6. Step 6: Final answer
    x = 1,156.67

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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.